Oscillatory singular integrals on weighted Hardy spaces

Yue Hu

ArticleOriginal scientific text

Title

Oscillatory singular integrals on weighted Hardy spaces

Authors ^1,²

Affiliations

Department of Mathematics, Beijing University, 100871 Beijing, P.R. China
Department of Computer Science, Concordia University, 1455 de Maisonneuve Blvd. W., Montréal, Québec, Canada, H3G 1MB

Abstract

Let

T f (x) = p . v . ʃ_{ℝ ¹} e^{i P (x - y)} \frac{f (y)}{x - y} d y

, where P is a real polynomial on ℝ. It is proved that T is bounded on the weighted H¹(wdx) space with w ∈ A₁.

Keywords

ENG

oscillatory singular integrals, H¹ space, A₁ condition

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Title

Oscillatory singular integrals on weighted Hardy spaces

Affiliations

Abstract

Keywords

Bibliography