Journal of Siberian Federal University. Mathematics & Physics / Some Classes of Sets Sufficient for Holomorphic Continuation of Integrable Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Shoimkulov, Bakhodir A.; Kutlimuratov, Baymurat J.
Contact information
Shoimkulov, Bakhodir A.: National University of Uzbekistan Tashkent, Uzbekistan; ; Kutlimuratov, Baymurat J.: Karakalpak State University Nukus, Uzbekistan; OCRID: 0000-0001-6683-5199
Keywords
holomorphic continuation; Morera boundary condition; Bochner-Martinelli kernel
Abstract

In the present work we considers integrable functions defined on a boundary of a bounded domain D in Cn, n > 1, and possessing a generalized Morera boundary property. We show that such function possesses a holomorphic continuation into the domain D for some sufficient sets of complex lines

Pages
506–512
EDN
YVFZDK
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/153004