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Operator approach to weighted estimates of singular integrals

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Abstract

In this paper we give a geometric approach (using only the theory of operators in Hilbert space) to L2-weighted estimates of singular integral operators. In this way we are able to get an abstract operator theorem, a special case of which is the familiar theorem of Koosis, and also a generalization of Koosis' theorem to the case of operator-valued weights.

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Authors
  1. S. R. Treil'
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 135, pp. 150–174, 1984.

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Treil', S.R. Operator approach to weighted estimates of singular integrals. J Math Sci 31, 2729–2743 (1985). https://doi.org/10.1007/BF02107259

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  • DOI: https://doi.org/10.1007/BF02107259

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