Singular integrals in product domains and the method of rotations
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- by Donald Krug PDF
- Proc. Amer. Math. Soc. 103 (1988), 1175-1178 Request permission
Abstract:
Singular integrals with kernels of the form $K(x,y)$ where $K$ satisfies conditions to be a bounded singular integral operator in each of its variables have been much studied lately. In this paper we use the classical method of rotations to give a proof that kernels of the form $K(x,y) = \Omega (x,y)/|x{|^n}|y{|^m}$ correspond to bounded singular integral operators.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1175-1178
- MSC: Primary 42B20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0955003-X
- MathSciNet review: 955003