Grand Lebesgue sequence spaces

Humberto Rafeiro; Stefan Samko; Salaudin Umarkhadzhiev

doi:10.1515/gmj-2018-0017

Grand Lebesgue sequence spaces

Humberto Rafeiro, Stefan Samko, Salaudin Umarkhadzhiev

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in vanishing grand spaces.

Original language	English
Pages (from-to)	291-302
Number of pages	12
Journal	Georgian Mathematical Journal
Volume	25
Issue number	2
DOIs	https://doi.org/10.1515/gmj-2018-0017
Publication status	Published - Jun 1 2018
Externally published	Yes

Keywords

Grand Lebesgue sequence space
Hardy operator
Hilbert transform
convolution operator
fractional operator
maximal operator

ASJC Scopus subject areas

General Mathematics

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10.1515/gmj-2018-0017

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KW - Hardy operator

KW - Hilbert transform

KW - convolution operator

KW - fractional operator

KW - maximal operator

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Grand Lebesgue sequence spaces

Abstract

Keywords

ASJC Scopus subject areas

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