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Weighted Lp-estimates for singular integrals with anisotropic kernels

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Abstract

One gives a generalization of Muckenhoupt's theorem to the case of anisotropic singular integrals, in particular, integrals whose kernels are the derivatives of the fundamental solutions of parabolic equations.

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Literature cited

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Authors
  1. I. M. Rokhman
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  2. V. A. Solonnikov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 124–137, 1985.

The authors are grateful to S. V. Kislyakov, whose remarks have allowed us to extend the class of the considered operators T, and to E. M. Dyn'kin for bibliographical information.

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Rokhman, I.M., Solonnikov, V.A. Weighted Lp-estimates for singular integrals with anisotropic kernels. J Math Sci 37, 869–877 (1987). https://doi.org/10.1007/BF01387726

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  • DOI: https://doi.org/10.1007/BF01387726

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