V. S. Rabinovich, S. G. Samko, “Singular Integral Operators on Weighted Variable Exponent Lebesgue Spaces on Composed Carleson Curves”, Funktsional. Anal. i Prilozhen., 2012, Volume 46, Issue 1,Pages <nobr>87

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Brief communications

Singular Integral Operators on Weighted Variable Exponent Lebesgue Spaces on Composed Carleson Curves

V. S. Rabinovich^a, S. G. Samko^b

^a Instituto Politecnico Nacional, ESIME–Zacatenco
^b Universidade do Algarve

Abstract: The paper is devoted to singular integral operators acting on weighted variable exponent Lebesgue spaces on certain composed Carleson curves. Necessary and sufficient conditions for Fredholmness and an index formula are obtained.

Keywords: singular integral operator, variable exponent Lebesgue space.

UDC: 517.95

Received: 28.04.2010

DOI: 10.4213/faa3061