Hyperbolic singular integral operators.

Andrea R. Nahmod

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 1, page 103-123
  • ISSN: 0213-2230

Abstract

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We define a class of integral operators which are singular relative to the hyperbolic metric in simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L2 of the upper half plane relative to the hyperbolic metric.

How to cite

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Nahmod, Andrea R.. "Hyperbolic singular integral operators.." Revista Matemática Iberoamericana 11.1 (1995): 103-123. <http://eudml.org/doc/39483>.

@article{Nahmod1995,
abstract = {We define a class of integral operators which are singular relative to the hyperbolic metric in simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L2 of the upper half plane relative to the hyperbolic metric.},
author = {Nahmod, Andrea R.},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores integrales; Plano hiperbólico; Calderón-Zygmund operators; Green's function; hyperbolic singular integral operator; kernel; hyperbolic metric; bounded operators},
language = {eng},
number = {1},
pages = {103-123},
title = {Hyperbolic singular integral operators.},
url = {http://eudml.org/doc/39483},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Nahmod, Andrea R.
TI - Hyperbolic singular integral operators.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 1
SP - 103
EP - 123
AB - We define a class of integral operators which are singular relative to the hyperbolic metric in simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L2 of the upper half plane relative to the hyperbolic metric.
LA - eng
KW - Operadores integrales; Plano hiperbólico; Calderón-Zygmund operators; Green's function; hyperbolic singular integral operator; kernel; hyperbolic metric; bounded operators
UR - http://eudml.org/doc/39483
ER -

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