## Abstract We show that singular integral operators with piecewise continuous coefficients may gain massive spectra when considered in weighted spaces of continuous functions with a prescribed continuity modulus (generalized HΓΆlder spaces __H^Ο^__ (Ξ, __Ο__ )), a fact known for example for Lebesgu
Fredholmness of singular integral operators with discrete subexponentialgroups of shifts on Lebesgue spaces
β Scribed by Yuri Karlovich; Bernd Silbermann
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 449 KB
- Volume
- 272
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
The paper is devoted to an application of a general local method of studying the Fredholmness of nonlocal bounded linear operators to Banach algebras of singular integral operators with piecewise continuous coefficients and discrete subexponential groups of piecewise smooth shifts acting topologically freely on composed contours. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __Ο~t,Ξ³~__ (__Ο__) = |(__Ο__ β __t__)^__Ξ³__^ |, where __Ξ³__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point
## Abstract This paper deals with what we call modified singular integral operators. When dealing with (pure) singular integral operators on the unit circle with coefficients belonging to a decomposing algebra of continuous functions it is known that a factorization of the symbol induces a factoriz