On Grand Lebesgue spaces on sets of infinite measure

Name: On Grand Lebesgue spaces on sets of infinite measure
Keywords: embedding, Fourier multiplier, Lp spaces, grandizer, grand Lebesgue spaces, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Samko, Stefan; Umarkhadzhiev, Salaudin

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Article . 2017

License: CC BY

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zbMATH Open

Article . 2017

Data sources: zbMATH Open

On Grand Lebesgue spaces on sets of infinite measure

On grand Lebesgue spaces on sets of infinite measure

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Portugal Publisher:Wiley (Wiley-VCH), Weinheim

Authors: Samko, Stefan; Umarkhadzhiev, Salaudin;

handle: 10400.1/13177

On Grand Lebesgue spaces on sets of infinite measure

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Abstract

Summary: We consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so-called grandizer. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces.

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Portugal

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University of Algarve
Portugal

Keywords

embedding, Fourier multiplier, Lp spaces, grandizer, grand Lebesgue spaces, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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