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Singular integral operators on Nakano spaces with weights having finite sets of discontinuities

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Karlovich A.

Banach Center Publications

2011

tom 92

nr 1

143-166

In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.

Ograniczanie wyników

1 Banach Center Publications

1 Karlovich A.

1 2011

Wyniki wyszukiwania

Singular integral operators on Nakano spaces with weights having finite sets of discontinuities