Balayage of Carleson Measures and Hankel Operators on Generalized Hardy Spaces

1991 ◽  
Vol 153 (1) ◽  
pp. 237-245 ◽  
Author(s):  
Aline Bonami ◽  
Shobha Madan
Keyword(s):  
Hardy Spaces ◽  
Hankel Operators ◽  
Carleson Measures ◽  
Generalized Hardy Spaces

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 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 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

scholarly journals Carleson measures and embeddings of abstract Hardy spaces into function lattices

2015 ◽  
Vol 268 (4) ◽  
pp. 902-928 ◽  
Author(s):  
Mieczysław Mastyło ◽  
Luis Rodríguez-Piazza
Keyword(s):  
Hardy Spaces ◽  
Carleson Measures

scholarly journals Toeplitz and Hankel operators between distinct Hardy spaces

2019 ◽  
Vol 249 (2) ◽  
pp. 163-192
Author(s):  
Karol Leśnik
Keyword(s):  
Hardy Spaces ◽  
Hankel Operators

scholarly journals Reverse Carleson measures in Hardy spaces

2014 ◽  
Vol 65 (3) ◽  
pp. 357-365 ◽  
Author(s):  
Andreas Hartmann ◽  
Xavier Massaneda ◽  
Artur Nicolau ◽  
Joaquim Ortega-Cerdà
Keyword(s):  
Hardy Spaces ◽  
Carleson Measures

Some Generalized Hardy Spaces

1967 ◽  
Vol 19 ◽  
pp. 621-628
Author(s):  
L. D. Meeker
Keyword(s):  
Banach Space ◽  
Hardy Spaces ◽  
Analytic Functions ◽  
General Setting ◽  
Classical Case ◽  
Boundary Values ◽  
Generalized Hardy Spaces

This paper is concerned with generalizations of the classical Hardy spaces (8, p. 39) and the question of boundary values for functions of these various spaces. The general setting is the “big disk” Δ discussed by Arens and Singer in (1, 2) and by Hoffman in (7). Analytic functions are defined in (1). Classes of such functions corresponding to the Hardy Hp spaces are considered and shown to possess boundary values in (2). Contrary to the classical case, such functions do not form a Banach space; hence they are not the functional analytic analogue of the classical spaces. In (3) quasi-analytic functions are defined while in (4) Hardy spaces of such functions are considered and are shown to have boundary values and to form a Banach space.

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