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Integrability of maximal functions for generalized Lebesgue spaces with variable exponent |
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| Authors: | Yoshihiro Mizuta Takao Ohno Tetsu Shimomura |
| Affiliation: | 1. The Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi‐Hiroshima 739‐8521, Japan;2. Phone: +81 82 424 6465, Fax: +81 82 424 0756;3. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi‐Hiroshima 739‐8526, Japan;4. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi‐Hiroshima 739‐8524, Japan |
| Abstract: | Our aim in this paper is to deal with integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Our exponent approaches 1 on some part of the domain, and hence the integrability depends on the shape of that part and the speed of the exponent approaching 1. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Maximal functions Lebesgue spaces with variable exponent Minkowski content |