Gain of Regularity in Extension Problem on Convex Domains

We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type. We prove that there exists a constant d such that on Bergman spaces Hp(D) with 1≤p<d there appears the so-called “gain regularity.” The constant d depends on the minimum of the dim...

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Bibliographic Details
Main Author: M. Jasiczak
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/295759
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