Geodesic
Singular Integral Operators on Weighted Variable Exponent Lebesgue Spaces on Composed Carleson Curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 87-92

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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
Mots-clés : variable exponent Lebesgue space. 
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     author = {V. S. Rabinovich and S. G. Samko},
     title = {Singular {Integral} {Operators} on {Weighted} {Variable} {Exponent} {Lebesgue} {Spaces} on {Composed} {Carleson} {Curves}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2012_46_1_a10/}
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V. S. Rabinovich; S. G. Samko. Singular Integral Operators on Weighted Variable Exponent Lebesgue Spaces on Composed Carleson Curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 87-92. http://geodesic.mathdoc.fr/item/FAA_2012_46_1_a10/