scholarly journals Bounded and compact multipliers between Bergman and Hardy spaces

1999 ◽  
Vol 35 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Stephen M. Buckley ◽  
M. S. Ramanujan ◽  
Dragan Vukotić
Keyword(s):  
Hardy Spaces ◽  
Bergman And Hardy Spaces

scholarly journals Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type

2008 ◽  
Vol 254 (11) ◽  
pp. 2800-2815 ◽  
Author(s):  
Milutin Dostanić ◽  
Miroljub Jevtić ◽  
Dragan Vukotić
Keyword(s):  
Hardy Spaces ◽  
Hilbert Matrix ◽  
Bergman And Hardy Spaces

scholarly journals Riesz's Functions in Weighted Hardy and Bergman Spaces

1996 ◽  
Vol 48 (5) ◽  
pp. 930-945 ◽  
Author(s):  
Takahiko Nakazi ◽  
Masahiro Yamada
Keyword(s):  
Hardy Spaces ◽  
Borel Measure ◽  
Bergman Spaces ◽  
Semicontinuous Function ◽  
Positive Borel Measure ◽  
Upper Semicontinuous ◽  
Hardy And Bergman Spaces ◽  
Upper Semicontinuous Function ◽  
Image Position ◽  
Bergman And Hardy Spaces

AbstractLet μ be a finite positive Borel measure on the closed unit disc . For each a in , put where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.

scholarly journals Marcinkiewicz–Zygmund Inequalities for Polynomials in Bergman and Hardy Spaces

2021 ◽  
Author(s):  
Karlheinz Gröchenig ◽  
Joaquim Ortega-Cerdà
Keyword(s):  
Hardy Space ◽  
Bergman Space ◽  
Hilbert Spaces ◽  
Hardy Spaces ◽  
Analytic Functions ◽  
Infinite Dimensional ◽  
Bergman And Hardy Spaces ◽  
Sampling Sequences ◽  
The Relationship ◽  
Spaces Of Analytic Functions

AbstractWe study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz–Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in one variable because they provide two settings with a strikingly different behavior.

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