Integrability of superharmonic functions in a John domain

Integrability of superharmonic functions in a John domain
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John 域中超调和函数的可积性

DOI:
10.1090/s0002-9939-99-04991-6
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发表时间:
1999
期刊:
--
影响因子:
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通讯作者:
Hiroaki Aikawa
Hiroaki Aikawa
中科院分区:
--
文献类型:
--
作者:
Hiroaki Aikawa

文献摘要

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建立了正超调和函数在有界胖约翰区域上的可积性。不假设任何外部条件。对于一般有界John定义域,用John常数对p的估计证明了其lp可积性。
The integrability of positive superharmonic functions on a bounded fat John domain is established. No exterior conditions are assumed. For a general bounded John domain the LP-integrability is proved with the estimate of p in terms of the John constant.