Convolution Operators on Discrete Hardy Spaces

2001 ◽  
Vol 226 (1) ◽  
pp. 17-33 ◽  
Author(s):  
Santiago Boza ◽  
María J. Carro
Keyword(s):  
Hardy Spaces ◽  
Convolution Operators ◽  
Discrete Hardy Spaces

scholarly journals Strongly Singular Convolution Operators on Herz-Type Hardy Spaces with Variable Exponent

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Hongbin Wang ◽  
Dunyan Yan
Keyword(s):  
Hardy Spaces ◽  
Variable Exponent ◽  
Convolution Operators

We investigate the boundedness of the strongly singular convolution operators on Herz-type Hardy spaces with variable exponent.

scholarly journals Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

2010 ◽  
Vol 2010 ◽  
pp. 1-17 ◽  
Author(s):  
A. Gasmi ◽  
F. Soltani
Keyword(s):  
Hardy Spaces ◽  
Multiplier Theorem ◽  
Convolution Operators ◽  
Riesz Means ◽  
Riesz Operators

We study the Dunkl convolution operators on Herz-type Hardy spacesℋα,2pand we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spacesℋα,∞p.

scholarly journals Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$

2020 ◽  
Vol 15 (1) ◽  
Author(s):  
Paula Cerejeiras ◽  
Uwe Kähler ◽  
Anastasiia Legatiuk ◽  
Dmitrii Legatiuk
Keyword(s):  
Half Space ◽  
Hardy Spaces ◽  
Function Theory ◽  
Bounded Domains ◽  
Discrete Function ◽  
Higher Dimensional ◽  
Stokes Formula ◽  
Discrete Function Theory ◽  
Discrete Hardy Spaces ◽  
Discrete Setting

AbstractDiscrete function theory in higher-dimensional setting has been in active development since many years. However, available results focus on studying discrete setting for such canonical domains as half-space, while the case of bounded domains generally remained unconsidered. Therefore, this paper presents the extension of the higher-dimensional function theory to the case of arbitrary bounded domains in $${\mathbb {R}}^{n}$$ R n . On this way, discrete Stokes’ formula, discrete Borel–Pompeiu formula, as well as discrete Hardy spaces for general bounded domains are constructed. Finally, several discrete Hilbert problems are considered.

scholarly journals Discrete Hardy Spaces

2014 ◽  
Vol 20 (4) ◽  
pp. 715-750 ◽  
Author(s):  
Paula Cerejeiras ◽  
Uwe Kähler ◽  
Min Ku ◽  
Frank Sommen
Keyword(s):  
Hardy Spaces ◽  
Discrete Hardy Spaces

Factorization of sequences in discrete Hardy spaces

2012 ◽  
Vol 209 (1) ◽  
pp. 53-69 ◽  
Author(s):  
Santiago Boza
Keyword(s):  
Hardy Spaces ◽  
Discrete Hardy Spaces

scholarly journals Convolution operators on Hardy spaces

1996 ◽  
Vol 120 (1) ◽  
pp. 53-59 ◽  
Author(s):  
Chin-Cheng Lin
Keyword(s):  
Hardy Spaces ◽  
Convolution Operators

Boundedness of Convolution Operators on Hardy Spaces

2019 ◽  
Vol 19 (2) ◽  
pp. 183-191
Author(s):  
Eduard Belinsky ◽  
Elijah Liflyand
Keyword(s):  
Hardy Spaces ◽  
Convolution Operators

scholarly journals Discrete Hardy Spaces and Heat Semigroup Associated with the Discrete Laplacian

2019 ◽  
Vol 16 (4) ◽  
Author(s):  
Víctor Almeida ◽  
Jorge J. Betancor ◽  
Lourdes Rodríguez-Mesa
Keyword(s):  
Hardy Spaces ◽  
Heat Semigroup ◽  
Discrete Laplacian ◽  
Discrete Hardy Spaces
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