The Noetherian Conditions and the Index of Some Class of Singular Integral Operators over a Bounded Simply Connected Domain
- 1 March 2019
- journal article
- research article
- Published by Allerton Press in Moscow University Mathematics Bulletin
- Vol. 74 (2), 49-54
- https://doi.org/10.3103/s0027132219020025
Abstract
Necessary and sufficient conditions to be Noetherian are obtained for two-dimensional singular integral operators on Lebesgue spaces with a weight coefficient. A formula for calculation of their index is given.Keywords
This publication has 2 references indexed in Scilit:
- Lectures on Quasiconformal MappingsPublished by American Mathematical Society (AMS) ,2006
- Note on singular integralsProceedings of the American Mathematical Society, 1957