Algebras of singular integral operators on nakano spaces with khvedelidze weights over carleson curves with logarithmic whirl points

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.

Bibliographic Details
Main Author: Karlovich, Alexei Yu. (author)
Format: bookPart
Language:eng
Published: 2005
Subjects:
Nakano space
Generalized lebesgue space with variable exponent
Carleson curve
Logarithmic whirl point
Singular integral operator
Fredholmness
Khvedelidze weight
Online Access:http://hdl.handle.net/1822/6518
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/6518
Description
Summary: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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