scholarly journals A local version of the Myers–Steenrod theorem

2020 ◽  
Vol 52 (5) ◽  
pp. 871-884
Author(s):  
Francesco Pediconi
Keyword(s):  
2000 ◽  
pp. 60-67
Author(s):  
M. M. Nikitenko

The inclusion of Eastern Slavs in the sphere of religious and cultural influences of Byzantium was a tremendous event both in national and in world history. Since then, the main center of the culture of Kievan Rus, incorporating a complex of ideas and functions of the spiritual, public and private life of ancient Russian society, became the Eastern Christian temple in its local version


2020 ◽  
Vol 32 (4) ◽  
pp. 919-936 ◽  
Author(s):  
Jiao Chen ◽  
Wei Ding ◽  
Guozhen Lu

AbstractAfter the celebrated work of L. Hörmander on the one-parameter pseudo-differential operators, the applications of pseudo-differential operators have played an important role in partial differential equations, geometric analysis, harmonic analysis, theory of several complex variables and other branches of modern analysis. For instance, they are used to construct parametrices and establish the regularity of solutions to PDEs such as the {\overline{\partial}} problem. The study of Fourier multipliers, pseudo-differential operators and Fourier integral operators has stimulated further such applications. It is well known that the one-parameter pseudo-differential operators are {L^{p}({\mathbb{R}^{n}})} bounded for {1<p<\infty}, but only bounded on local Hardy spaces {h^{p}({\mathbb{R}^{n}})} introduced by Goldberg in [D. Goldberg, A local version of real Hardy spaces, Duke Math. J. 46 1979, 1, 27–42] for {0<p\leq 1}. Though much work has been done on the {L^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} boundedness for {1<p<\infty} and Hardy {H^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} boundedness for {0<p\leq 1} for multi-parameter Fourier multipliers and singular integral operators, not much has been done yet for the boundedness of multi-parameter pseudo-differential operators in the range of {0<p\leq 1}. The main purpose of this paper is to establish the boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} for {0<p\leq 1} recently introduced by Ding, Lu and Zhu in [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380].


2019 ◽  
Vol 19 (1) ◽  
Author(s):  
María Urtasun ◽  
Federico Manuel Daray ◽  
Germán Leandro Teti ◽  
Fernando Coppolillo ◽  
Gabriela Herlax ◽  
...  

Abstract Background The Patient Health Questionnaire-9 (PHQ-9) is a brief tool to assess the presence and severity of depressive symptoms. This study aimed to validate and calibrate the PHQ-9 to determine appropriate cut-off points for different degrees of severity of depression in Argentina. Methods We conducted a cross-sectional study on an intentional sample of adult ambulatory care patients with different degrees of severity of depression. All patients who completed the PHQ-9 were further interviewed by a trained clinician with the Mini International Neuropsychiatric Interview (MINI) and the Beck Depression Inventory-II (BDI-II). Reliability and validity tests, including receiver operating curve analysis, were performed. Results One hundred sixty-nine patients were recruited with a mean age of 47.4 years (SD = 14.8), of whom 102 were females (60.4%). The local PHQ-9 had high internal consistency (Cronbach’s alpha = 0.87) and satisfactory convergent validity with the BDI-II scale [Pearson’s correlation = 0.88 (p < 0.01)]. For the diagnosis of Major Depressive Episode (MDE) according to the MINI, a PHQ-9 ≥ 8 was the optimal cut-off point found (sensitivity 88.2%, specificity 86.6%, PPV 90.91%). The local version of PHQ-9 showed good ability to discriminate among depression severity categories according to the BDI-II scale. The best cut off points were 6–8 for mild cases, 9–14 for moderate and 15 or more for severe depressive symptoms respectively. Conclusions The Argentine version of the PHQ-9 questionnaire has shown acceptable validity and reliability for both screening and severity assessment of depressive symptoms.


2001 ◽  
Vol 05 (02) ◽  
pp. 43-45 ◽  

Medrad to Produce Syringes in China. China Domestic Milk Producer Acquires Kraft's Operations in Beijing. Two New Portals on Agriculture and Medicine Launched in China. Taiwanese Company Plans Chinese Herbs AIDS Trials. Nestle India to Expand Product Range. India to Market Local Version of Viagra Soon. Zydus Cadila Collaborates with Danish Biotech Firm. Korean Company Develops Cancer DNA Chip. Northwest Airlines Welcomes Australian Heart Monitor on Board.


2014 ◽  
Vol 57 (1) ◽  
pp. 17-82 ◽  
Author(s):  
TUOMAS P. HYTÖNEN ◽  
ANTTI V. VÄHÄKANGAS

AbstractWe extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, ‘vector-valued’ means ‘taking values in a function lattice with the UMD (unconditional martingale differences) property’. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory.


2021 ◽  
Vol 15 (2) ◽  
pp. 272-283
Author(s):  
Alexey Nikolaevich Rassykhaev

The article analyzes the local version of veneration of St. Stephen of Perm among the Nivshera’s Komi. The microlocal folklore tradition of the village Nischera (Komi Republic) is geographically far from the place of residence of the first bishop of Perm and the main area (Lower Vychegda and Vym) of the spread of traditions about a religious saint, who was called the “Zyryansky Apostle”. Meanwhile, the chapel (now lost) in honor of the saint and the saved life icon in the small village Rusanovskaya helped preserve the memory of a religious figure in popular culture. The post-temple life of the icon is amazing: relatives of the shrines who saved from death made a vow to hold home services. According to the established model in the Nivshera tradition off-temple services began to be held also before the reproduction of the icon Stefan Perm. The work attempted to compare scenarios and strategies for conducting home worship in two places. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. To some extent, the future of such practices will depend not only on the capabilities of the guardians of the icon and the presence of successors of this matter, but also on the socio-cultural situation of the village and interaction with the Orthodox Church. The cult veneration of Stefan Perm in the Nivshera folklore tradition is evidenced by recorded oral stories about a saint who visited the Vishera District, climbing a boat along the river, expelled rats for a long time, saved the village from fire, and provides general patronage to the village Rusanovskaya.


2021 ◽  
Vol 73 (4) ◽  
pp. 115-124
Author(s):  
Fedor S. Korandej ◽  

The article, based on the corpus of Soviet geographical poetry dedicated to the Urals and Western Siberia, examines the infrastructure set up to represent industrial projects. The adopted approach to studying geographical images of the Soviet industrial expansion of the 1950–1970s relies on the ideas of the “infrastructural turn” in the social sciences and uses as a research tool the methodology of “distant reading”. The author argues that the goals of the late Soviet representational project cannot be reduced to direct propaganda or mobilization. It was formed as a local version of modern boosterism — an expansionist ideology characteristic of the situation of forced creation of new territorialities and aimed at the formation of patriotic identities in new settlement centers. The Late Soviet geographical poetry was the product of this Soviet representational infrastructure, and the quintessence of its ideology, functioning within the framework of consolidating rhetoric, and giving rise to the figure of the poet, who was identified with poems dedicated to a certain infrastructure project. The Soviet boosterism implied placing the representations of industrial projects in a situational administrative-social context, while simultaneously producing indirect infrastructural effects that were crucial for the formation of urban “normality”, subjectivity and identity. The article outlines the main stages of the formation of the Soviet representational infrastructure, standard forms of its functioning in the late Soviet period; it describes historical geography of this network in the Urals and Western Siberia, which assumed different forms of dealing with the projects for representation of which it was created.


Author(s):  
Александр Анатольевич Красноперов

Грунтовая часть Тураевского могильника стала известна в 1969 г., раскопки осуществлялись в 1986–1990 гг., памятник полностью опубликован. Среди инвентаря Тураево, п. 73 есть несколько пластинчатых подвесок прямоугольной и трапециевидной формы, вопрос о происхождении которых требует повторного анализа. Подвески из Тураево, п. 73 совсем не характерны для мазунинских. При простоте формы и техники подвески почти не находят аналогий в синхронных памятниках. Таких нет в ближайших родственных культурах, гляденовской, кара-абызской, азелинской, их нет ни у сармат, ни в «древнемордовских» памятниках, ни у рязано-окцев. Ближайшие территории, где представлены пластинчатые украшения, это ареалы дьяковской и мощинской культур. Контекст находок показывает, что и на позднедьяковских, и на мощинских памятниках такие украшения сопряжены с находками вещей круга восточноевропейских эмалей, и являются местным локальным вариантом «эмалевого» комплекса. Кроме киевской, пластинчатые вещи представлены на памятниках зарубинецкой и культуры поздней штрихованной керамики. Дата комплекса Тураево, п. 73 неоднозначна. Железные височные подвески и железная бабочковидная фибула характерны для второго большого периода мазунинской культуры. Но бусинный материал дает дату в пределах III в., скорее второй его половины или середины. В пользу этой датировки свидетельствует набор подвесок, пластинчатых, имеющих истоки в уборе круга эмалей, и из фрагмента эполетообразной застежки предшествующей пьяноборской культуры. Находки круга эмалей эпизодически встречаются в Прикамье, и относятся ко 2-й (азелинские могильники) и 3-й (мазунинские могильники) стадиям развития. Механизм передачи можно предполагать через среду позднезарубинецкого (Ахмедов, 2018: 150, 157) и киевского населения (Бикляньское селище) в процессе их продвижения на восток (Ахмедов, Белоцерковская, 2007: 273). Turaevsky burial ground became known in 1969, excavations were carried out in 1986–1990, the monument is fully published. Among the inventory Turaevo, grave 73 there are several plate-shaped pendants of a rectangular and trapezoidal shape, the question of the origin of which requires repeated analysis. Pendants from Turaevo, grave 73 are not at all characteristic of Mazunino archeological culture. With the simplicity of the form and technique, the pendants almost do not find analogies in synchronous monuments. There are none in the «closest kindred» cultures, Glyadnovo, Kara-Abyz, Azelino, they are neither by the Sarmatians, nor in the «Old Mordovian» monuments, nor among the Ryazan'-Oka monuments. The nearest territories where plate-shaped bijouterie are represented are the areas of Dyakovo and Moschino cultures. The context of the finds shows that on both Late-Dyakovo and Moschino monuments, such bijouterie is associated with finds of things from the circle of East European enamels, and is a local version of the «enamel» complex. Plate-shaped bijouterie are represented on the monuments of Kiev-culture, Zarubinets-culture and the culture of late hatched ceramics. The date of the Turaevo grave 73 is ambiguous. Iron pendants for headwear and an iron butterfly-shaped brooch are characteristic of the second «large» period of the Mazunino culture. But the beads gives a date within the 3rd century, rather, its second half or middle. This dating is supported by a set of plate-shaped pendants having origins in the «enamel circle» and from a fragment of the epaulet-shaped buckle of the previous «Pyany Bor» culture. Findings of a «enamel circle» occasionally occur in Kama river valley, and belong to the 2nd (Azelino burial grounds) and 3rd (Mazunino burial grounds) stages of evolution. The transmission mechanism can be supposed across of the population of the Late-Zarubinets (Akhmedov I. R., 2018, p. 150, 157) and the Kiev (Biklyan' settlement) in the process of going to the East (Akhmedov I. R., Belotserkovskaya I. V., 2007, p. 273).


Author(s):  
Ravi Agrawal

In the year 2012, a generation ago in digital technology, the person who generated the most internet searches in India was not a cricketer or a Bollywood star. Nor was it a politician or a religious figure. None of them were close. The person most Indians were curious about that year—as measured by the total number of Google searches—was Canadian-Indian Karenjit Kaur Vohra, a.k.a. Sunny Leone, a former porn star and Penthouse Pet of the Year. It wasn’t the case only in 2012. As hundreds of millions of Indians continued to discover the internet through 2013, 2014, 2015, 2016, and even 2017, Sunny Leone remained the most-searched-for person in India. People simply couldn’t get enough. (Prime Minister Narendra Modi made it to number two in 2014, the year he was elected, but Leone remained the clear favorite.) Prudish, conservative, family-values India . . . and a porn star? Leone was no longer even performing; she had stopped around 2010 and started her own production company with her husband and manager, Daniel Weber. In 2011, she came to India as a guest on the reality TV show Bigg Boss, a local version of the Big Brother franchise. Leone’s appearance was predictably controversial (by design, of course: it was good for the ratings). Although most Indians hadn’t heard of her, it didn’t take long for word to spread: “A porn star—from America—here in India?” At the time, parliamentarian Anurag Thakur complained to the Ministry of Information and Broadcasting, arguing that Leone’s presence on a nationally telecast program would “have a negative impact on the mindset of children.” Thakur added: “When children see these porn stars on TV and then do a Google search, it shows a vulgar site. It will have a bad impact in the long run.” There were no laws, however, to stop Leone from appearing on TV. While the production of pornography was officially illegal in India, Leone could justifiably argue she was no longer involved in the industry. She was trying to pivot to general entertainment.


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