Weighted Anisotropic Integral Representations of Holomorphic Functions in the Unit Ball of Cn

Arman Karapetyan

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We obtain weighted integral representations for spaces of functions holomorphic in the unit ball Bn and belonging to area‐integrable weighted Lp‐classes with “anisotropic” weight function of the type ∏i=1n(1−|w1|2−|w2|2−⋯−|wi|2) αi, w = (w1, w2, …, wn) ∈ Bn. The corresponding kernels of these representations are estimated, written in an integral form, and even written out in an explicit form (for n = 2).

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2010/354961

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:354961

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().