$L^p$ estimates for singular integrals with kernels belonging to certain block spaces

Hussain Al-Qassem; Yibiao Pan

doi:rmi/1051544324

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October, 2002 $L^p$ estimates for singular integrals with kernels belonging to certain block spaces

Hussain Al-Qassem, Yibiao Pan

Rev. Mat. Iberoamericana 18(3): 701-730 (October, 2002).

Abstract

We establish the $L^p$ boundedness of singular integrals with kernels which belong to block spaces and are supported by subvarieties.

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Hussain Al-Qassem. Yibiao Pan. "$L^p$ estimates for singular integrals with kernels belonging to certain block spaces." Rev. Mat. Iberoamericana 18 (3) 701 - 730, October, 2002.

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Published: October, 2002

First available in Project Euclid: 28 April 2003

zbMATH: 1037.42015

MathSciNet: MR1954869

Subjects:

Primary: 42B20

Secondary: 42B15, 42B25

Keywords: $L^p$ boundedness, Block spaces, Fourier transform, maximal operators, Oscillatory integrals, singular integrals

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Rev. Mat. Iberoamericana

Vol.18 • No. 3 • October, 2002

Real Sociedad Matemática Española

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