Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/14943
Title: | Elements of script D′<sup>(Mp)</sup><inf>L</inf><sup>s</sup> and script D′<sup>{Mp}</sup><inf>L</inf><sup>s</sup> as boundary values of holomorphic functions | Authors: | Pilipović, Stevan | Issue Date: | 1-Nov-1996 | Journal: | Journal of Mathematical Analysis and Applications | Abstract: | We give representations of elements belonging to script D′(Mp)Lsand script D′{Mp}Ls s ∈ (1, infin;), where Mp is a non-quasianalytic sequence, as boundary values of holomorphic functions which satisfy appropriate estimates on the boundary of their domains. Conversely, we prove that the same estimates on holomorphic functions imply their script D′(Mp)Ls - and script D′{Mp}Ls -boundary values. With the stronger assumptions on Mp we obtain that appropriate L∞, resp. L1, estimates on holomorphic functions imply their boundary values in script D′(Mp)L∞ and script D′{Mp}L∞, resp. script D′(Mp)L1 and script D′{Mp}L1. © 1996 Academic Press, Inc. | URI: | https://open.uns.ac.rs/handle/123456789/14943 | ISSN: | 0022247X | DOI: | 10.1006/jmaa.1996.0408 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
4
checked on Nov 20, 2023
Page view(s)
19
Last Week
9
9
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.