The Distance toL∞in the Grand Orlicz Spaces-Reference-Cited by-同舟云学术

The Distance toL∞in the Grand Orlicz Spaces

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Farroni Fernando¹^ORCID,Giova Raffaella²^ORCID

Affiliation:

1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Via Cintia, 80126 Napoli, Italy

2. Università degli Studi di Napoli “Parthenope”, Palazzo Pacanowsky, Via Generale Parisi 13, 80132 Napoli, Italy

Abstract

We establish a formula for the distance toL∞from the grand Orlicz spaceLΦ)Ωintroduced in Capone et al. (2008). A new formula for the distance toL∞from the grand Lebesgue spaceLn)Ωintroduced in Iwaniec and Sbordone (1992) is also provided.

Funder

Analytic Techniques for Geometric and Functional Inequalities

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/658527.pdf

Reference25 articles.

1. On the integrability of the Jacobian under minimal hypotheses

2. Grand Lebesgue spaces with respect to measurable functions

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