Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points

Details Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points

2005-07-15

arxiv.org/abs/math/0507312v1

Mathematics

Functional Analysis

Scientific paper

We establish a Fredholm criterion for an arbitrary operator in the Banach
algebra of singular integral operators with piecewise continuous coefficients
on Nakano spaces (generalized Lebesgue spaces with variable exponent) with
Khvedelidze weights over Carleson curves with logarithmic whirl points.

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