Busemann-Petty Problems for Quasi Lp Intersection Bodies

Busemann-Petty Problems for Quasi Lp Intersection Bodies

We investigate the Lp dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi Lp intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on Busemann-Petty problems for intersection bodies.

Bibliographic Details
Main Authors: Yanping Zhou, Shanhe Wu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/3124285
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spelling doaj-13c347b05b134957b4a80068ff31ef722020-11-25T01:06:13ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/31242853124285Busemann-Petty Problems for Quasi Lp Intersection BodiesYanping Zhou0Shanhe Wu1Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Longyan University, Longyan 364012, ChinaWe investigate the Lp dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi Lp intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on Busemann-Petty problems for intersection bodies.http://dx.doi.org/10.1155/2017/3124285
collection DOAJ
language English
format Article
sources DOAJ
author Yanping Zhou
Shanhe Wu
spellingShingle Yanping Zhou
Shanhe Wu
Busemann-Petty Problems for Quasi Lp Intersection Bodies
Journal of Function Spaces
author_facet Yanping Zhou
Shanhe Wu
author_sort Yanping Zhou
title Busemann-Petty Problems for Quasi Lp Intersection Bodies
title_short Busemann-Petty Problems for Quasi Lp Intersection Bodies
title_full Busemann-Petty Problems for Quasi Lp Intersection Bodies
title_fullStr Busemann-Petty Problems for Quasi Lp Intersection Bodies
title_full_unstemmed Busemann-Petty Problems for Quasi Lp Intersection Bodies
title_sort busemann-petty problems for quasi lp intersection bodies
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2017-01-01
description We investigate the Lp dual geominimal surface area and volume forms of Busemann-Petty problems for the quasi Lp intersection bodies and establish some new geometric inequalities. Our results provide a significant complement to the researches on Busemann-Petty problems for intersection bodies.
url http://dx.doi.org/10.1155/2017/3124285
work_keys_str_mv AT yanpingzhou busemannpettyproblemsforquasilpintersectionbodies
AT shanhewu busemannpettyproblemsforquasilpintersectionbodies
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