On a Duality in W^1,p Defined on Nonsmooth Domains

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概要

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• A certain estimate for the W^1,p norm,Which is based on a duality between W^1,p and W^1,q, is considered,where p,q∈(1,∞) with p^-1+q^-1. An estimate for the W_0^1,p norm is also given. Those function spaces are assumed to be defined on general nonsmooth domains,and therefore our results are actually extensions of Simader's result for smooth domains. However the value of p is restricted in accordance with the shape of a domain. We apply the abstract duality method of M. Schechter and the complex interpolation theory of A. P. Calderon.

• 富山大学の論文

著者

• Saito Norikazu

  Faculty Of Human Development Toyama University

• Saito Norikazu

  Faculty Of Education Toyama University

関連論文

• On a Duality in W^1,p Defined on Nonsmooth Domains
• Remarks on the Rational Approximation of Holomorphic Semigroups with Nonuniform Partitions

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