scholarly journals Generalized Hardy spaces on tube domains over cones

2001 ◽  
Vol 90 (2) ◽  
pp. 213-251 ◽  
Author(s):  
Gustavo Garrigos
Keyword(s):  
Hardy Spaces ◽  
Tube Domains ◽  
Generalized Hardy Spaces

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

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.

scholarly journals Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 109-126 ◽  
Author(s):  
Milos Arsenovic ◽  
Romi Shamoyan
Keyword(s):  
Hardy Spaces ◽  
Bergman Spaces ◽  
Bergman Projection ◽  
Symmetric Cones ◽  
Mixed Norm ◽  
Sufficient Condition ◽  
General Sufficient Condition ◽  
Tube Domains

We obtain a new general sufficient condition for the continuity of the Bergman projection in tube domains over symmetric cones using multifunctional embeddings. We also obtain some sharp embedding relations between the generalized Hilbert-Hardy spaces and the mixed-norm Bergman spaces in this setting.

Generalized Hardy spaces

2010 ◽  
Vol 26 (9) ◽  
pp. 1673-1692 ◽  
Author(s):  
Alexandre Almeida ◽  
António M. Caetano
Keyword(s):  
Hardy Spaces ◽  
Generalized Hardy Spaces
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