P-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm

Shaoqiang Shang; Yunan Cui; Yongqiang Fu

doi:10.1016/j.na.2011.08.040

P-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm

Shaoqiang Shang^*
, Yunan Cui
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin University of Science and Technology

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

7 Scopus citations

Abstract

In this paper, criteria for P-convexity of OrliczBochner function spaces equipped with Orlicz norm are given. Although, criteria for P-convexity of Orlicz function spaces equipped with the Orlicz norm were known, we can easily deduce them from our main results.

Original language	English
Pages (from-to)	371-379
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2011.08.040
State	Published - Jan 2012

Keywords

Orlicz norm
OrliczBochner function spaces
P-convexity

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10.1016/j.na.2011.08.040

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title = "P-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm",

abstract = "In this paper, criteria for P-convexity of OrliczBochner function spaces equipped with Orlicz norm are given. Although, criteria for P-convexity of Orlicz function spaces equipped with the Orlicz norm were known, we can easily deduce them from our main results.",

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author = "Shaoqiang Shang and Yunan Cui and Yongqiang Fu",

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N2 - In this paper, criteria for P-convexity of OrliczBochner function spaces equipped with Orlicz norm are given. Although, criteria for P-convexity of Orlicz function spaces equipped with the Orlicz norm were known, we can easily deduce them from our main results.

AB - In this paper, criteria for P-convexity of OrliczBochner function spaces equipped with Orlicz norm are given. Although, criteria for P-convexity of Orlicz function spaces equipped with the Orlicz norm were known, we can easily deduce them from our main results.

KW - Orlicz norm

KW - OrliczBochner function spaces

KW - P-convexity

UR - https://www.scopus.com/pages/publications/80053946301

U2 - 10.1016/j.na.2011.08.040

DO - 10.1016/j.na.2011.08.040

M3 - 文章

AN - SCOPUS:80053946301

SN - 0362-546X

VL - 75

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

P-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm

Abstract

Keywords

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