Singular integrals associated to homogeneous mappings with rough kernels

H. Al-Qassem; A. Al-Salman; Y. Pan

doi:10.14492/hokmj/1285851910

Singular integrals associated to homogeneous mappings with rough kernels

H. Al-Qassem^*, A. Al-Salman, Y. Pan

^*Corresponding author for this work

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

15 Citations (Scopus)

Abstract

In this paper, we study the L^p mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

Original language	English
Pages (from-to)	551-569
Number of pages	19
Journal	Hokkaido Mathematical Journal
Volume	33
Issue number	3
DOIs	https://doi.org/10.14492/hokmj/1285851910
Publication status	Published - 2004
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.14492/hokmj/1285851910

Cite this

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title = "Singular integrals associated to homogeneous mappings with rough kernels",

abstract = "In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.",

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

author = "H. Al-Qassem and A. Al-Salman and Y. Pan",

year = "2004",

doi = "10.14492/hokmj/1285851910",

language = "English",

volume = "33",

pages = "551--569",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Department of Mathematics, Hokkaido University",

number = "3",

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TY - JOUR

T1 - Singular integrals associated to homogeneous mappings with rough kernels

AU - Al-Qassem, H.

AU - Al-Salman, A.

AU - Pan, Y.

PY - 2004

Y1 - 2004

N2 - In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

AB - In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

KW - Block spaces

KW - Fourier transform

KW - L boundedness

KW - Oscillatory integrals

KW - Rough kernels

KW - Singular integrals

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UR - http://www.scopus.com/inward/citedby.url?scp=20744453457&partnerID=8YFLogxK

U2 - 10.14492/hokmj/1285851910

DO - 10.14492/hokmj/1285851910

M3 - Article

AN - SCOPUS:20744453457

SN - 0385-4035

VL - 33

SP - 551

EP - 569

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 3

ER -

Singular integrals associated to homogeneous mappings with rough kernels

Abstract

Keywords

ASJC Scopus subject areas

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