scholarly journals Composition Operators on Generalized Hardy Spaces

2015 ◽  
Vol 9 (8) ◽  
pp. 1733-1757
Author(s):  
Juliette Leblond ◽  
Elodie Pozzi ◽  
Emmanuel Russ
Keyword(s):  
Hardy Spaces ◽  
Composition Operators ◽  
Generalized Hardy Spaces

scholarly journals On the Generalized Hardy Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-14
Author(s):  
M. Fatehi
Keyword(s):  
Hardy Spaces ◽  
Composition Operators ◽  
Point Evaluations ◽  
Generalized Hardy Spaces

We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.

Compact Composition Operators on Generalized Hardy Spaces

2008 ◽  
Vol 15 (4) ◽  
pp. 775-783
Author(s):  
Ajay K. Sharma
Keyword(s):  
Hardy Space ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Generalized Hardy Spaces ◽  
Increasing Function

Abstract We investigate compact composition operators acting on generalized Hardy spaces 𝐻𝑤. In fact, we prove that if 𝑤 is a differentiable, subharmonic and strictly increasing function defined on [0, ∞), then 𝐶 φ is compact on the generalized Hardy spaces if and only if it is compact on the Hardy space 𝐻2.

scholarly journals Hardy Spaces for Quasiregular Mappings and Composition Operators

2021 ◽  
Author(s):  
Tomasz Adamowicz ◽  
María J. González
Keyword(s):  
Hardy Spaces ◽  
Composition Operators ◽  
Quasiconformal Mappings ◽  
Carleson Measures ◽  
Quasiregular Mappings ◽  
Classical Setting ◽  
Appl Math ◽  
Analytic Mappings

AbstractWe define Hardy spaces $${\mathcal {H}}^p$$ H p for quasiregular mappings in the plane, and show that for a particular class of these mappings many of the classical properties that hold in the classical setting of analytic mappings still hold. This particular class of quasiregular mappings can be characterised in terms of composition operators when the symbol is quasiconformal. Relations between Carleson measures and Hardy spaces play an important role in the discussion. This program was initiated and developed for Hardy spaces of quasiconformal mappings by Astala and Koskela in 2011 in their paper $${\mathcal {H}}^p$$ H p -theory for Quasiconformal Mappings (Pure Appl Math Q 7(1):19–50, 2011).

scholarly journals Atomic decomposition and weak factorization in generalized Hardy spaces of closed forms

2017 ◽  
Vol 141 (7) ◽  
pp. 676-702 ◽  
Author(s):  
Aline Bonami ◽  
Justin Feuto ◽  
Sandrine Grellier ◽  
Luong Dang Ky
Keyword(s):  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Weak Factorization ◽  
Generalized Hardy Spaces
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