Derivatives of Inner Functions in Weighted Mixed Norm Spaces

2018 ◽  
Vol 29 (3) ◽  
pp. 1859-1875 ◽  
Author(s):  
Atte Reijonen
Keyword(s):  
Mixed Norm ◽  
Inner Functions ◽  
Mixed Norm Spaces ◽  
Derivatives Of

scholarly journals Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces

2017 ◽  
Vol 20 (5) ◽  
Author(s):  
Alexey Karapetyants ◽  
Stefan Samko
Keyword(s):  
Analytic Functions ◽  
Fractional Derivatives ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Hardy Type ◽  
Type Spaces ◽  
Generalized Fractional Derivatives ◽  
Definition Of ◽  
Derivatives Of ◽  
Spaces Of Analytic Functions

AbstractThe aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions 𝓐

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}.

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.

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