Displaying similar documents to “Criterion on Lp-boundedness for a class of oscillatory singular integrals with rough kernels.”

An oscillatory singular integral operator with polynomial phase

Josfina Alvarez, Jorge Hounie (1999)

Studia Mathematica

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We prove the continuity of an oscillatory singular integral operator T with polynomial phase P(x,y) on an atomic space H P 1 related to the phase P. Moreover, we show that the cancellation condition to be imposed on T holds under more general conditions. To that purpose, we obtain a van der Corput type lemma with integrability at infinity.

On a Special Class of Non Complete Webs

Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this article, we introduce a special class of non complete webs, the . We also study the algebraic and geometric properties of these webs.

Oscillatory singular integrals on weighted Hardy spaces

Yue Hu (1992)

Studia Mathematica

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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.

An estimation for a family of oscillatory integrals

Magali Folch-Gabayet, James Wright (2003)

Studia Mathematica

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Let K be a Calderón-Zygmund kernel and P a real polynomial defined on ℝⁿ with P(0) = 0. We prove that convolution with Kexp(i/P) is continuous on L²(ℝⁿ) with bounds depending only on K, n and the degree of P, but not on the coefficients of P.