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HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF C-n
- Authors
- Kwon, Ern Gun; Cho, Hong Rae; Koo, Hyungwoon
- Issue Date
- 1월-2013
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- mean Lipschitz condition; Besov space; mean modulus of continuity
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.1, pp.189 - 202
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 50
- Number
- 1
- Start Page
- 189
- End Page
- 202
- ISSN
- 0304-9914
- Abstract
- On the unit ball of C-n, the space of those holomorphic functions satisfying the mean Lipschitz condition integral(1)(0) w(p)(t, f)(q) dt/t(1+alpha q) < infinity is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where w(p)(t, f) denotes the L-p modulus of continuity defined in terms of the unitary transformations of C-n.
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