Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 16, Issue 5-6, Pages 461-482Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652460412331320322
Keywords
variable exponent; maximal operators; singular operators; potential operators; hardy operators; generalized Lebesgue and Sobolev spaces
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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,W-p(.).
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