Continuous embedding between harmonic Hardy spaces and mixed-norm spaces

1997 ◽  
Vol 42 (2) ◽  
pp. 106-107
Author(s):  
Zhangjian Hu
Keyword(s):  
Hardy Spaces ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Continuous Embedding

scholarly journals Sharp Norm Estimates for the Bergman Operator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces

2016 ◽  
Vol 68 (6) ◽  
pp. 1257-1284 ◽  
Author(s):  
Carme Cascante ◽  
Joan Fàbrega ◽  
Joaquín M. Ortega
Keyword(s):  
Hardy Spaces ◽  
Mixed Norm ◽  
Weighted Hardy Spaces ◽  
Mixed Norm Spaces ◽  
Norm Estimates ◽  
Bergman Operator

AbstractIn this paper we give sharp norm estimates for the Bergman operator acting from weighted mixed-norm spaces to weighted Hardy spaces in the ball, endowed with natural norms.

Adjoint of generalized Cesáro operators on analytic function spaces

2020 ◽  
Vol 26 (2) ◽  
pp. 185-192
Author(s):  
Sunanda Naik ◽  
Pankaj K. Nath
Keyword(s):  
Analytic Function ◽  
Convolution Operator ◽  
Composition Operators ◽  
Mixed Norm ◽  
Averaging Operators ◽  
Mixed Norm Spaces ◽  
Cesaro Averaging ◽  
Analytic Function Spaces ◽  
Appl Math ◽  
Two Parameter

AbstractIn this article, we define a convolution operator and study its boundedness on mixed-norm spaces. In particular, we obtain a well-known result on the boundedness of composition operators given by Avetisyan and Stević in [K. Avetisyan and S. Stević, The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc, Appl. Math. Comput. 213 2009, 2, 304–311]. Also we consider the adjoint {\mathcal{A}^{b,c}} for {b>0} of two parameter families of Cesáro averaging operators and prove the boundedness on Besov mixed-norm spaces {B_{\alpha+(c-1)}^{p,q}} for {c>1}.

Fourier transform of anisotropic mixed-norm Hardy spaces

2021 ◽  
Vol 16 (1) ◽  
pp. 119-139
Author(s):  
Long Huang ◽  
Der-Chen Chang ◽  
Dachun Yang
Keyword(s):  
Fourier Transform ◽  
Hardy Spaces ◽  
Mixed Norm

scholarly journals On an Integral-Type Operator from Zygmund-Type Spaces to Mixed-Norm Spaces on the Unit Ball

2010 ◽  
Vol 2010 ◽  
pp. 1-7 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Type Operator ◽  
Mixed Norm ◽  
Integral Type ◽  
Mixed Norm Space ◽  
Mixed Norm Spaces ◽  
Norm Space ◽  
Type Spaces

The boundedness and compactness of an integral-type operator recently introduced by the author from Zygmund-type spaces to the mixed-norm space on the unit ball are characterized here.

Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel–Lizorkin spaces

2020 ◽  
Vol 258 ◽  
pp. 105459
Author(s):  
Long Huang ◽  
Jun Liu ◽  
Dachun Yang ◽  
Wen Yuan
Keyword(s):  
Hardy Spaces ◽  
Mixed Norm
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