Abstract
We study the boundedness of the Cauchy singular integral operators on curves in complex plane in generalized Morrey spaces. We also consider the weighted case with radial weights. We apply these results to the study of Fredholm properties of singular integral operators in weighted generalized Morrey spaces.
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Burtseva, E. Singular Integral Operators in Generalized Morrey Spaces on Curves in the Complex Plane. Mediterr. J. Math. 14, 203 (2017). https://doi.org/10.1007/s00009-017-1004-9
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DOI: https://doi.org/10.1007/s00009-017-1004-9
Keywords
- Operator theory
- singular integral operator
- Morrey space
- weighted estimates
- normal solvability
- weighted Morrey space