Oscillatory singular integrals on weighted Hardy spaces
Volume 102 / 1992
Studia Mathematica 102 (1992), 145-156
DOI: 10.4064/sm-102-2-145-156
Abstract
Let $Tf(x) = p.v. ʃ_{ℝ¹} e^{iP(x-y)} f(y)/(x-y) dy$, where P is a real polynomial on ℝ. It is proved that T is bounded on the weighted H¹(wdx) space with w ∈ A₁.
