Lp Boundedness of a class of singular integral operators with rough kernels

Hussain Al-Qassem; Ahmad Al-Salman

L^p Boundedness of a class of singular integral operators with rough kernels

Hussain Al-Qassem^*, Ahmad Al-Salman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper, we study the L^pmapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x = Φ (|y|)y′} where Φ satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

Original language	English
Pages (from-to)	519-533
Number of pages	15
Journal	Turkish Journal of Mathematics
Volume	25
Issue number	4
Publication status	Published - 2001
Externally published	Yes

Keywords

Block spaces
Fourier transform
L boundedness
Oscillatory integrals
Rough kernels
Singular integrals

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Lp Boundedness of a class of singular integral operators with rough kernels",

abstract = "In this paper, we study the Lpmapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x = Φ (|y|)y′} where Φ satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.",

keywords = "Block spaces, Fourier transform, L boundedness, Oscillatory integrals, Rough kernels, Singular integrals",

author = "Hussain Al-Qassem and Ahmad Al-Salman",

year = "2001",

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journal = "Turkish Journal of Mathematics",

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T1 - Lp Boundedness of a class of singular integral operators with rough kernels

AU - Al-Qassem, Hussain

AU - Al-Salman, Ahmad

PY - 2001

Y1 - 2001

N2 - In this paper, we study the Lpmapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x = Φ (|y|)y′} where Φ satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

AB - In this paper, we study the Lpmapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x = Φ (|y|)y′} where Φ satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

KW - Block spaces

KW - Fourier transform

KW - L boundedness

KW - Oscillatory integrals

KW - Rough kernels

KW - Singular integrals

UR - http://www.scopus.com/inward/record.url?scp=27244432487&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27244432487&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:27244432487

SN - 1300-0098

VL - 25

SP - 519

EP - 533

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 4

ER -

L^p Boundedness of a class of singular integral operators with rough kernels

Abstract

Keywords

ASJC Scopus subject areas

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