scholarly journals ON SOME EXTREMAL PROBLEMS IN CERTAIN HARMONIC FUNCTION SPACES OF SEVERAL VARIABLES RELATED TO MIXED NORM SPACES

2013 ◽  
Vol 20 (1) ◽  
pp. 40-55
Author(s):  
R F Shamoyan
Keyword(s):  
Harmonic Function ◽  
Extremal Problems ◽  
Function Spaces ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Several Variables

scholarly journals On traces of analytic Gp type spaces, mixed norm spaces and harmonic Bergman classes on certain polydomains

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 1-19
Author(s):  
Romi Shamoyan ◽  
Olivera Mihic
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Type Spaces ◽  
Analytic Function Spaces

In this paper, we introduce new Qp type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of Rn and products of Rn+1 half spaces will be also provided.

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}.

Integral type operators from mixed-norm spaces to α-Bloch spaces

2007 ◽  
Vol 18 (7) ◽  
pp. 485-493 ◽  
Author(s):  
Songxiao Li ◽  
Stevo Stević
Keyword(s):  
Mixed Norm ◽  
Integral Type ◽  
Bloch Spaces ◽  
Mixed Norm Spaces

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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