# L2 boundedness of a singular integral operator.

Publicacions Matemàtiques (1997)

- Volume: 41, Issue: 2, page 317-333
- ISSN: 0214-1493

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topFan, Dashan, and Pan, Yibiao. "L2 boundedness of a singular integral operator.." Publicacions Matemàtiques 41.2 (1997): 317-333. <http://eudml.org/doc/41323>.

@article{Fan1997,

abstract = {In this paper we study a singular integral operator T with rough kernel. This operator has singularity along sets of the form \{x = Q(|y|)y'\}, where Q(t) is a polynomial satisfying Q(0) = 0. We prove that T is a bounded operator in the space L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t).We also obtain certain Hardy type inequalities related to this operator.},

author = {Fan, Dashan, Pan, Yibiao},

journal = {Publicacions Matemàtiques},

keywords = {Operadores integrales; Integrales singulares; Espacios de Hardy; singular integrals; rough kernel; maximal function},

language = {eng},

number = {2},

pages = {317-333},

title = {L2 boundedness of a singular integral operator.},

url = {http://eudml.org/doc/41323},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Fan, Dashan

AU - Pan, Yibiao

TI - L2 boundedness of a singular integral operator.

JO - Publicacions Matemàtiques

PY - 1997

VL - 41

IS - 2

SP - 317

EP - 333

AB - In this paper we study a singular integral operator T with rough kernel. This operator has singularity along sets of the form {x = Q(|y|)y'}, where Q(t) is a polynomial satisfying Q(0) = 0. We prove that T is a bounded operator in the space L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t).We also obtain certain Hardy type inequalities related to this operator.

LA - eng

KW - Operadores integrales; Integrales singulares; Espacios de Hardy; singular integrals; rough kernel; maximal function

UR - http://eudml.org/doc/41323

ER -

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