A note on traces of some holomorphic spaces on polyballs
Abstract
We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.
Keywords:
Trace problem / Holomorphic function / fractional derivative / Bergman metric ball / area operatorSource:
Journal of Function Spaces and Applications, 2010, 8, 3, 271-285Publisher:
- Scientific Horizon, Delhi
Funding / projects:
- Prostori funkcija i operatori na njima (RS-MESTD-MPN2006-2010-144010)
DOI: 10.1155/2010/784896
ISSN: 0972-6802
WoS: 000284030300004
Scopus: 2-s2.0-84859331070
Collections
Institution/Community
Fakultet organizacionih naukaTY - JOUR AU - Shamoyan, Romi F. AU - Mihić, Olivera PY - 2010 UR - https://rfos.fon.bg.ac.rs/handle/123456789/639 AB - We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball. PB - Scientific Horizon, Delhi T2 - Journal of Function Spaces and Applications T1 - A note on traces of some holomorphic spaces on polyballs EP - 285 IS - 3 SP - 271 VL - 8 DO - 10.1155/2010/784896 UR - conv_1297 ER -
@article{ author = "Shamoyan, Romi F. and Mihić, Olivera", year = "2010", abstract = "We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.", publisher = "Scientific Horizon, Delhi", journal = "Journal of Function Spaces and Applications", title = "A note on traces of some holomorphic spaces on polyballs", pages = "285-271", number = "3", volume = "8", doi = "10.1155/2010/784896", url = "conv_1297" }
Shamoyan, R. F.,& Mihić, O.. (2010). A note on traces of some holomorphic spaces on polyballs. in Journal of Function Spaces and Applications Scientific Horizon, Delhi., 8(3), 271-285. https://doi.org/10.1155/2010/784896 conv_1297
Shamoyan RF, Mihić O. A note on traces of some holomorphic spaces on polyballs. in Journal of Function Spaces and Applications. 2010;8(3):271-285. doi:10.1155/2010/784896 conv_1297 .
Shamoyan, Romi F., Mihić, Olivera, "A note on traces of some holomorphic spaces on polyballs" in Journal of Function Spaces and Applications, 8, no. 3 (2010):271-285, https://doi.org/10.1155/2010/784896 ., conv_1297 .