Embeddings of doubling weighted Besov spaces

2014 ◽  
Vol 102 ◽  
pp. 105-119 ◽  
Author(s):  
Dorothee D. Haroske ◽  
Philipp Skandera
Keyword(s):  
Besov Spaces ◽  
Weighted Besov Spaces

scholarly journals Radially Weighted Besov Spaces and the Pick Property

2019 ◽  
pp. 29-61 ◽  
Author(s):  
Alexandru Aleman ◽  
Michael Hartz ◽  
John E. McCarthy ◽  
Stefan Richter
Keyword(s):  
Besov Spaces ◽  
Weighted Besov Spaces

scholarly journals Generalized weighted Besov spaces on the Bessel hypergroup

2006 ◽  
Vol 4 (1) ◽  
pp. 91-111
Author(s):  
Miloud Assal ◽  
Hacen Ben Abdallah
Keyword(s):  
Besov Spaces ◽  
Generalized Convolution ◽  
Smooth Functions ◽  
General Properties ◽  
Generalized Translation ◽  
Discrete Norm ◽  
Type Spaces ◽  
Translation Operators ◽  
Weighted Besov Spaces ◽  
Besov Type Spaces

In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.

scholarly journals Weighted holomorphic Besov spaces on the polydisk

2011 ◽  
Vol 9 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Anahit V. Harutyunyan ◽  
Wolfgang Lusky
Keyword(s):  
Fractional Derivative ◽  
Besov Space ◽  
Besov Spaces ◽  
Regular Variation ◽  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Besov Spaces ◽  
Unit Polydisk ◽  
Projection Theorems ◽  
Dimensional Lebesgue Measure

This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. LetUnbe the unit polydisk inCnandSbe the space of functions of regular variation. Let1≤p<∞,ω=(ω1,…,ωn),ωj∈S(1≤j≤n)andf∈H(Un).The functionfis said to be an element of the holomorphic Besov spaceBp(ω)if‖f‖Bp(ω)p=∫Un|Df(z)|p∏j=1nωj(1-|zj|)/(1-|zj|2)2-pdm2n(z)<+∞, wheredm2n(z)is the2n-dimensional Lebesgue measure onUnandDstands for a special fractional derivative offdefined in the paper. For example, ifn=1thenDfis the derivative of the functionzf(z).We describe the holomorphic Besov space in terms ofLp(ω)space. Moreover projection theorems and theorems of the existence of a right inverse are proved.

Composition operators between different weighted Besov spaces

2017 ◽  
Vol 26 (1) ◽  
pp. 105-114
Author(s):  
Ebrahim Zamani ◽  
◽  
Hamid Vaezi ◽  
Keyword(s):  
Besov Spaces ◽  
Composition Operators ◽  
Weighted Besov Spaces
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