scholarly journals On the solid hull of the Hardy-Lorentz space

2009 ◽  
Vol 85 (99) ◽  
pp. 55-61 ◽  
Author(s):  
Miroljub Jevtic ◽  
Miroslav Pavlovic
Keyword(s):  
Lorentz Space ◽  
Lorentz Spaces ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Norm Space ◽  
Solid Hull

The solid hulls of the Hardy-Lorentz spaces Hp,q,0 < p < 1, 0 < q ? ? and Hp,? 0, 0 < p < 1, as well as of the mixed norm space H p,?,? 0,0 < p ? 1, 0 < ? < ?, are determined.

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.

scholarly journals Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Type Space ◽  
Spaces Of Holomorphic Functions ◽  
Schmidt Norm ◽  
Norm Space ◽  
Weighted Type

The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilbert space as well as on the Hardy space.

scholarly journals ESSENTIAL COMMUTATIVITY OF SOME INTEGRAL AND COMPOSITION OPERATORS

2011 ◽  
Vol 85 (1) ◽  
pp. 143-153
Author(s):  
ZE-HUA ZHOU ◽  
LIANG ZHANG ◽  
HONG-GANG ZENG
Keyword(s):  
Composition Operators ◽  
Integral Operators ◽  
Mixed Norm ◽  
Integral Type ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space

AbstractIn general, multiplication of operators is not essentially commutative in an algebra generated by integral-type operators and composition operators. In this paper, we characterize the essential commutativity of the integral operators and composition operators from a mixed-norm space to a Bloch-type space, and give a complete description of the universal set of integral operators. Corresponding results for boundedness and compactness are also obtained.

Coefficient Multipliers of Mixed Norm Spaces

1993 ◽  
Vol 36 (3) ◽  
pp. 283-285 ◽  
Author(s):  
Miroljub Jevtić ◽  
Ivan Jovanović
Keyword(s):  
Hardy Space ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Mixed Norm Spaces ◽  
Simple Characterization ◽  
Norm Space ◽  
Coefficient Multipliers

AbstractWe give a simple characterization of coefficient multipliers from the mixed norm space Hp,q,α, 2 ≤ p ≤ ∞, into Hu,v,β, 0 ≤ u ≤ 2, which includes the main results of Wojtaszczyk in [5]. We also calculate multipliers from the Hardy space Hp, 2 ≤ p ≤ ∞, into Hq, 0 < q ≤ 2.

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