Necessary Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data
✍ Scribed by Alexei Yu. Karlovich; Yuri I. Karlovich; Amarino B. Lebre
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 398 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
## 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 actin
## Abstract A symbol calculus for the smallest Banach subalgebra 𝒜~[__SO,PC__]~ of the Banach algebra ℬ︁(__L^n^~p~__(ℝ)) of all bounded linear operators on the Lebesgue spaces __L^n^~p~__(ℝ) (1 < __p__ < ∞, __n__ ≥ 1) which contains all the convolution type operators __W~a,b~__ = __a__ℱ^−1^__b__ℱ w
## Abstract A criterion for the Fredholmness of singular integral operators with Carleman shift in __L~P~(Γ__) is obtained, where Γ is either the unit circle or the real line. The approach allows to consider unbounded coefficients in a class related to that of quasicontinuous functions. Application