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Maximal Inequalities in Orlicz Spaces

Acinas, Sonia Ester et al · Hikari Ltd · 2012

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Author / responsible party
Acinas, Sonia Ester et al
Publisher
Hikari Ltd
Year
2012
ISSN
2179-2198
ISSN
2179-2198
Language
English

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Given non negative measurable real valued functions f and g, we get inequalities of the type ! Ω Ψ(f) dµ ≤ K ! Ω Ψ( g c ) dµ, assuming weak type inequalities µ({f>a}) ≤ K ! {f>a} ϕ( g a ) dµ where ϕ, ψ : R+ 0 → R+ 0 are nondecreasing functions related by ≺N and where Ψ is a Young function given by Ψ(x) = ! x 0 ψ(t) dt. We apply these results to best approximation operators and sub additive operators. Fil: Acinas, Sonia Ester. Universidad Nacional de la Pampa. Facultad de Cs.exactas y Naturales. Dto de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Favier, Sergio José. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina

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Acinas, S. E. E. A. (2012). Maximal Inequalities in Orlicz Spaces. https://nodovox.com/record.php?id=747986

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Acinas, Sonia Ester et al. "Maximal Inequalities in Orlicz Spaces." 2012. https://nodovox.com/record.php?id=747986.

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Acinas, Sonia Ester et al. 2012. "Maximal Inequalities in Orlicz Spaces.". https://nodovox.com/record.php?id=747986.

Harvard

Acinas, S. E. E. A. 2012, Maximal Inequalities in Orlicz Spaces, Hikari Ltd, available at: https://nodovox.com/record.php?id=747986 [Accessed 9 Aug. 2026].

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Title
Maximal Inequalities in Orlicz Spaces
Author / contributors
Acinas, Sonia Ester et al
Publisher
Hikari Ltd
Publication year
2012
ISSN
2179-2198
ISSN
2179-2198
Language
English

Subjects

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Orlicz Spaces; Hardy-Littlewood maximal operator; Best approximation operators; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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