Oscillatory singular integrals on weighted Hardy spaces

Yue Hu

Studia Mathematica (1992)

  • Volume: 102, Issue: 2, page 145-156
  • ISSN: 0039-3223

Abstract

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Let T f ( x ) = p . v . ʃ ℝ ¹ e i P ( x - y ) 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.

How to cite

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Hu, Yue. "Oscillatory singular integrals on weighted Hardy spaces." Studia Mathematica 102.2 (1992): 145-156. <http://eudml.org/doc/215919>.

@article{Hu1992,
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.},
author = {Hu, Yue},
journal = {Studia Mathematica},
keywords = {oscillatory singular integrals; H¹ space; A₁ condition; weighted Hardy spaces; condition},
language = {eng},
number = {2},
pages = {145-156},
title = {Oscillatory singular integrals on weighted Hardy spaces},
url = {http://eudml.org/doc/215919},
volume = {102},
year = {1992},
}

TY - JOUR
AU - Hu, Yue
TI - Oscillatory singular integrals on weighted Hardy spaces
JO - Studia Mathematica
PY - 1992
VL - 102
IS - 2
SP - 145
EP - 156
AB - 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.
LA - eng
KW - oscillatory singular integrals; H¹ space; A₁ condition; weighted Hardy spaces; condition
UR - http://eudml.org/doc/215919
ER -

References

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