On the two weights problem for the Hilbert transform

Nets Hawk Katz, María Pereyra

Type: Article

Publication Date: 1997-04-30

Citations: 14

DOI: https://doi.org/10.4171/rmi/220

Abstract

In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ? [f(y) / x - y] dy, is bounded from L2(u) to L2(v).

Locations

Revista Matemática Iberoamericana - View - PDF
Hispana - View - PDF

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