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One-sided extendability and p-continuous analytic capacities
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Bolkas, E., Nestoridis, V., Panagiotis, Christoforos and Papadimitrakis, M. (2019) One-sided extendability and p-continuous analytic capacities. The Journal of Geometric Analysis, 29 . pp. 1369-1406. doi:10.1007/s12220-018-0042-2 ISSN 1050-6926.
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Official URL: https://doi.org/10.1007/s12220-018-0042-2
Abstract
Using complex methods combined with Baire’sTheorem, we show that one-sided extendability, extendability, and real analyticity are rare phenomena on various spaces of functions in the topological sense. These considerations led us to introduce the p-continuous analytic capacity and variants of it, p ∈{ 0 , 1 , 2 ,... }∪{∞} ,for compact or closed sets in C . We use these capacities in order to characterize the removability of singularities of functions in the spaces AP.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Injective modules (Algebra), Algebraic topology | ||||||||
Journal or Publication Title: | The Journal of Geometric Analysis | ||||||||
Publisher: | Springer New York LLC | ||||||||
ISSN: | 1050-6926 | ||||||||
Official Date: | 15 April 2019 | ||||||||
Dates: |
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Volume: | 29 | ||||||||
Page Range: | pp. 1369-1406 | ||||||||
DOI: | 10.1007/s12220-018-0042-2 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 20 July 2018 | ||||||||
Date of first compliant Open Access: | 17 September 2018 | ||||||||
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