Integral means and radial growth of Bloch functions

1987 ◽  
Vol 195 (1) ◽  
pp. 37-50 ◽  
Author(s):  
Daniel Girela
Keyword(s):  
Radial Growth ◽  
Integral Means ◽  
Bloch Functions

scholarly journals A note on the radial growth of Bloch functions

1992 ◽  
Vol 45 (1) ◽  
pp. 143-149
Author(s):  
Daniel Girela
Keyword(s):  
Radial Growth ◽  
Law Of Iterated Logarithm ◽  
Integral Means ◽  
Bloch Functions ◽  
Normal Functions ◽  
Iterated Logarithm ◽  
Starting Point ◽  
Littlewood Theorem

The radial growth of Bloch functions has been extensively studied. Using integral means estimates and the Hardy Littlewood theorem, Makarov proved the so called law of iterated logarithm for Bloch functions. This result has also been obtained using probabilistic arguments. In this paper we present another method of studying the radial growth of Bloch functions, having the integral means estimates as starting point and using certain results about normal functions.

Integral means of weighted Hardy–Bloch functions

2014 ◽  
Vol 104 (1) ◽  
pp. 69-76
Author(s):  
Evgueni Doubtsov
Keyword(s):  
Integral Means ◽  
Bloch Functions

scholarly journals Growth properties and sequences of zeros of analytic functions in spaces of Dirichlet type

2006 ◽  
Vol 80 (3) ◽  
pp. 397-418 ◽  
Author(s):  
Daniel Girela ◽  
José Ángel Peláez
Keyword(s):  
Hardy Spaces ◽  
Analytic Functions ◽  
Unit Disc ◽  
Radial Growth ◽  
Integral Means ◽  
Zero Sets ◽  
Sharp Estimates ◽  
Taylor Coefficients ◽  
Zeros Of Analytic Functions ◽  
Growth Properties

AbstractFor 0 < p < ∞, we let pp−1 denote the space of those functions f that are analytic in the unit disc Δ = {z ∈ C: |z| < 1} and satisfy ∫Δ(1 – |z|)p−1|f′(z)|pdx dy < ∞ The spaces pp−1 are closely related to Hardy spaces. We have, p−1p ⊂ Hp, if 0 < p ≦ 2, and Hp ⊂ pp−1, if 2 ≦ p < ∞. In this paper we obtain a number of results about the Taylor coefficients of pp-1 -functions and sharp estimates on the growth of the integral means and the radial growth of these functions as well as information on their zero sets.2000 Mathematics subject classification: primary 30D35, 30D55, 46E15.

Radial growth of Bloch functions in the complex ball

2014 ◽  
Vol 102 (4) ◽  
pp. 391-399
Author(s):  
Evgueni Doubtsov
Keyword(s):  
Radial Growth ◽  
Bloch Functions ◽  
Complex Ball

Microsized Structures Fabricated with Nanoparticles as Building Blocks

1998 ◽  
Vol 536 ◽  
Author(s):  
Yongchi Tian ◽  
A. D. Dinsmore ◽  
S. B. Qadri ◽  
B. R. Ratna
Keyword(s):  
Radial Growth ◽  
Building Blocks ◽  
Higher Order ◽  
Surfactant Templating ◽  
Order Structures

AbstractHere we report a nanoparticulate route to Y2O3 nanofibers (~50 nm in diameter and a few micrometers in length) and for the radial growth of ZnS spheres (200-800 nm diameter). Well-defined higher order structures are developed upon thermostatically aging the dispersions of monomeric nanocrystals. The shapes of the “macromolecules„ are correlated to primary monomeric nanocrystallites, the growing time and temperature, and surfactant templating agents. It is anticipated that this approach should inspire fabrication of nanoparticulate structures by using primary nanoparticles as monomers.

DENDROCHRONOLOGICAL RESEARCHES IN ARTIFICIAL PLANTINGS OF NUR-SULTAN CITY

2020 ◽  
Author(s):  
A N. Kabanov ◽  
◽  
S.A. Kabanova ◽  
Keyword(s):  
Pinus Sylvestris ◽  
Radial Growth ◽  
Climatic Conditions ◽  
Solar Insolation ◽  
Dendrochronological Analysis ◽  
Different Ages ◽  
Green Zone

Dendrochronological analysis was carried out in forest cultures of Pinus sylvestris of different ages growing in the green zone of Nur-Sultan city. It was found that the value of the annual radial growth is subject to a cycle with a period of 10-11 years. This is due to climatic conditions, in particular, with periods of solar insolation, which is confirmed by researches of other authors.

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