The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical Ap characteristic

作者: S. Petermichl

DOI: 10.1353/AJM.2007.0036

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摘要: We show that the norm of Hilbert transform as an operator in weighted space L P R (ω) for 2 < p oo is bounded by a constant multiple first power classical Ap characteristic ω. This result sharp. also prove bilinear imbedding theorem with simple conditions.

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