The bilinear Hilbert transform is pointwise finite

Michael T. Lacey

Type: Article

Publication Date: 1997-08-31

Citations: 7

DOI: https://doi.org/10.4171/rmi/227

Abstract

Let f \in L^\infty and g \in L^2 be supported on [0,1]. Then the principal value integral below exists in L^1 . \mathrm {p.v.} \int f(x + y) g (x – y) \frac{dy}{y}.

Locations

Revista Matemática Iberoamericana - View - PDF

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Works Cited by This (2)

Action	Title	Year	Authors
+ PDF Chat	On convergence and growth of partial sums of Fourier series	1966	Lennart Carleson
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