VMO Space Associated with Parabolic Sections and its Application

Ming Hsiu Hsu; Ming Yi Lee

doi:10.4153/CMB-2015-005-2

VMO Space Associated with Parabolic Sections and its Application

Ming Hsiu Hsu, Ming Yi Lee

Department of Mathematics

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

Abstract

In this paper we define a space VMOy associated with a family y of parabolic sections and show that the dual of VAfOy is the Hardy space tf As an application, we prove that almost everywhere convergence of a bounded sequence in Hfp implies weak' convergence. CMS -SMC. .

Original language	English
Pages (from-to)	507-518
Number of pages	12
Journal	Canadian Mathematical Bulletin
Volume	58
Issue number	3
DOIs	https://doi.org/10.4153/CMB-2015-005-2
State	Published - Sep 2015

Keywords

BMO
Hardy space
Monge-amṕere equation
Parabolic section
VMO

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10.4153/CMB-2015-005-2

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title = "VMO Space Associated with Parabolic Sections and its Application",

abstract = "In this paper we define a space VMOy associated with a family y of parabolic sections and show that the dual of VAfOy is the Hardy space tf As an application, we prove that almost everywhere convergence of a bounded sequence in Hfp implies weak' convergence. CMS -SMC. .",

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AU - Hsu, Ming Hsiu

AU - Lee, Ming Yi

N1 - Publisher Copyright: © Canadian Mathematical Society 2015.

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Y1 - 2015/9

N2 - In this paper we define a space VMOy associated with a family y of parabolic sections and show that the dual of VAfOy is the Hardy space tf As an application, we prove that almost everywhere convergence of a bounded sequence in Hfp implies weak' convergence. CMS -SMC. .

AB - In this paper we define a space VMOy associated with a family y of parabolic sections and show that the dual of VAfOy is the Hardy space tf As an application, we prove that almost everywhere convergence of a bounded sequence in Hfp implies weak' convergence. CMS -SMC. .

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KW - Hardy space

KW - Monge-amṕere equation

KW - Parabolic section

KW - VMO

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DO - 10.4153/CMB-2015-005-2

M3 - 期刊論文

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VL - 58

SP - 507

EP - 518

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 3

ER -

VMO Space Associated with Parabolic Sections and its Application

Abstract

Keywords

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