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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1985 Volume 147, Pages 124–137 (Mi znsl5343)

This article is cited in 1 paper

Weighted $L_p$-estimates for singular integrals with anisotropic kernels

I. M. Rochman, V. A. Solonnikov


Abstract: Weighted $L_p$-estimate for singular integrals derived by Muckenhoupt, Coifman and Fefferman is extended to integrals with anisotropic kernels. In particular, heat volume potentials and more general singular integrals whose kernels are fundamental solutions of parabolic equations are considered.

UDC: 517.518.13



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