Abstract
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 $L^{p}$ spaces and logarithmic Lebesgue spaces.
Citation
Alberto Fiorenza. Miroslav Krbec. "On the domain and range of the maximal operator." Nagoya Math. J. 158 43 - 61, 2000.
Information
Published: 2000
First available in Project Euclid: 27 April 2005
zbMATH: 1039.42015
MathSciNet: MR1766576
Subjects:
Primary:
42B25
Secondary:
46E30
,
47B38
Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal