On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
Author:
- 1 July 2005
- journal article
- research article
- Published by Taylor & Francis in Integral Transforms and Special Functions
- Vol. 16 (5-6) , 461-482
Abstract
This paper represents a broadened version of the plenary lecture presented by the author at the conference Analytic Methods of Analysis and Differential Equations (AMADE-2003), September 4–9, 2003, Minsk, Belarus. We give a survey of investigations on ‘the variable exponent business’, concentrating mainly on recent advances in the operator theory and harmonic analysis in the generalized Lebesgue and Sobolev spaces L p(·) and W m, p(·).Keywords
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