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Hardy-Type Inequalities For Some Non-convex Domains

Hardy-Type Inequalities For Some Non-convex Domains

Paperback

General Mathematics

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ISBN10: 3659263451
ISBN13: 9783659263453
Publisher: Lap Lambert Academic Pub
Published: Oct 2 2012
Pages: 180
Weight: 0.60
Height: 0.41 Width: 6.00 Depth: 9.00
Language: English
This monograph is devoted to a study of certain Hardy-type inequalities for non-convex domains in R n. For convex domains, 1/4 is the precise value of the constant in such inequalities. This book is concerned with finding estimates on that constant for non-convex multi-dimensional domains. Some estimates were obtained earlier by other authors for simply connected planar domains with the help of complex-analytic methods. Our aim is to obtain lower bounds for the optimal constant by real-analytic methods.

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General Mathematics