L2 boundedness of a singular integral operator.

Fan, 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 -