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On the domain and range of the maximal operator

Published online by Cambridge University Press:  22 January 2016

Alberto Fiorenza  and
Miroslav Krbec
Alberto Fiorenza
Affiliation:
Dipartimento di Costruzioni e Metodi Matematici in Architettura, via Monteoliveto, 3, 80134, Napoli, Italy, fiorenza@cds.unina.it
Miroslav Krbec
Affiliation:
Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitá 25, 115 67 Prague 1, Czech Republic, krbecm@matsrv.math.cas.cz
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Abstract

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We give a detailed survey, known and new results on the domain and the range of the maximal operator. In particular we employ the grand Lp spaces and logarithmic Lebesgue spaces.

Keywords

42B2546E30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 158 , December 2000 , pp. 43 - 61
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

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