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.

Embedding properties of weighted Besov-type spaces

2015 ◽  
Vol 13 (05) ◽  
pp. 507-553 ◽  
Author(s):  
Wen Yuan ◽  
Dorothee D. Haroske ◽  
Leszek Skrzypczak ◽  
Dachun Yang
Keyword(s):  
Besov Spaces ◽  
Necessary Conditions ◽  
Muckenhoupt Weight ◽  
Exponential Weights ◽  
Special Cases ◽  
Type Spaces ◽  
Sufficient And Necessary Conditions ◽  
Weighted Besov Spaces ◽  
Dyadic Cubes ◽  
Besov Type Spaces

In this paper, we consider the embeddings of weighted Besov spaces [Formula: see text] into Besov-type spaces [Formula: see text] with w being a (local) Muckenhoupt weight, and give sufficient and necessary conditions on the continuity and the compactness of these embeddings. As special cases, we characterize the continuity and the compactness of embeddings in case of some polynomial or exponential weights. The proofs of these conclusions strongly depend on the geometric properties of dyadic cubes.

scholarly journals Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

2016 ◽  
Vol 146 (5) ◽  
pp. 905-927 ◽  
Author(s):  
António Caetano ◽  
Amiran Gogatishvili ◽  
Bohumír Opic
Keyword(s):  
Besov Spaces ◽  
Function Spaces ◽  
Lebesgue Spaces ◽  
Banach Function Spaces ◽  
Compact Embeddings ◽  
Type Spaces ◽  
Besov Type Spaces

There are two main aims of the paper. The first is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second is to extend the criterion for the precompactness of sets in the Lebesgue spaces Lp(ℝn), 1 ⩽ p < ∞, to the so-called power quasi-Banach function spaces. These criteria are applied to establish compact embeddings of abstract Besov spaces into quasi-Banach function spaces. The results are illustrated on embeddings of Besov spaces , into Lorentz-type spaces.

scholarly journals A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

2017 ◽  
Vol 3 (2) ◽  
pp. 149-172 ◽  
Author(s):  
Azzeddine El Baraka ◽  
Mohammed Masrour
Keyword(s):  
Besov Spaces ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
General Frame ◽  
Priori Estimates ◽  
Special Cases ◽  
Degenerate Elliptic ◽  
Type Spaces ◽  
Besov Type Spaces

AbstractIn this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces $B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ and the classical Hölder and Besov spaces $B_{p,q}^s $. This work extends the results of [13, 2, 15] from Hölder and Besov spaces to the general frame of $B_{p,q}^{s,\tau }$ spaces.

Corrigendum on ``Interpolating sequences on analytic Besov type spaces\"

2010 ◽  
Vol 59 (6) ◽  
pp. 1931-1934 ◽  
Author(s):  
Jordi Pau ◽  
Nicola Arcozzi ◽  
Daniel Blasi
Keyword(s):  
Interpolating Sequences ◽  
Type Spaces ◽  
Besov Type 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
Sign in / Sign up

Export Citation Format

Share Document