Continuous embedding between harmonic Hardy spaces and mixed-norm spaces

1997 ◽  
Vol 42 (2) ◽  
pp. 106-107
Author(s):  
Zhangjian Hu
2016 ◽  
Vol 68 (6) ◽  
pp. 1257-1284 ◽  
Author(s):  
Carme Cascante ◽  
Joan Fàbrega ◽  
Joaquín M. Ortega

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.


2020 ◽  
Vol 26 (2) ◽  
pp. 185-192
Author(s):  
Sunanda Naik ◽  
Pankaj K. Nath

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}.


2021 ◽  
Vol 16 (1) ◽  
pp. 119-139
Author(s):  
Long Huang ◽  
Der-Chen Chang ◽  
Dachun Yang

2010 ◽  
Vol 2010 ◽  
pp. 1-7 ◽  
Author(s):  
Stevo Stević

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.


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

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