Abstract
On the unit ball of ℂn, the space of those holomorphic functions satisfying mean Lipschitz condition (Formula presented) is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp*(t, f) denotes the double difference Lp modulus of continuity defined in terms of the unitary transformations of ℂn.
Original language | English |
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Pages (from-to) | 543-553 |
Number of pages | 11 |
Journal | Potential Analysis |
Volume | 41 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 Jun |
Bibliographical note
Funding Information:Ern Gun Kwon was supported by NRF-2010-0021986. Hong Rae Cho was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (NRF-2011-0013740). Hyungwoon Koo was supported by NRF-2012000705.
Keywords
- Besov space
- Mean Lipschitz condition
- Mean modulus of continuity
- Zygmund class
ASJC Scopus subject areas
- Analysis