Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications

スポンサーリンク

概要

• 論文の詳細を見る

• Some equivalent characterizations for boundedness of maximal singular integral operators on spaces of homogeneous type are given via certain norm inequalities on John-Strömberg sharp maximal functions and without resorting the boundedness of these operators themselves. As a corollary, the results of Grafakos on Euclidean spaces are generalized to spaces of homogeneous type. Moreover, applications to maximal Monge-Ampère singular integral operators and maximal Nagel-Stein singular integral operators on certain specific smooth manifolds are also presented.

• 社団法人 日本数学会の論文
• 2007-04-01

著者

• Yang Dachun

  School Of Mathematical Sciences Beijing Normal University

• HU Guoen

  Department of Applied Mathematics University of Information Engineering

• YANG Dongyong

  School of Mathematical Sciences Beijing Normal University

関連論文

• Boundedness of sublinear operators on product Hardy spaces and its application
• Boundedness of sublinear operators on product Hardy spaces and its application
• Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications
• On a class of multilinear oscillatory singular integral operators
• A note on the multilinear oscillatory singular integral operators
• Criterion of (L^p, L^r) boundedness for a class of multilinear oscillatory singular integrals
• The commutator of the Bochner-Riesz operator
• L^2(R^n) boundedness for the commutators of convolution operators
• Maximal operators associated with commutators of spherical means

スポンサーリンク