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Zygmund Type Mean Lipschitz Spaces on the Unit Ball of a", (n)
- Authors
- Kwon, Ern Gun; Cho, Hong Rae; Koo, Hyungwoon
- Issue Date
- 8월-2014
- Publisher
- SPRINGER
- Keywords
- Mean Lipschitz condition; Mean modulus of continuity; Zygmund class; Besov space
- Citation
- POTENTIAL ANALYSIS, v.41, no.2, pp.543 - 553
- Indexed
- SCIE
SCOPUS
- Journal Title
- POTENTIAL ANALYSIS
- Volume
- 41
- Number
- 2
- Start Page
- 543
- End Page
- 553
- ISSN
- 0926-2601
- Abstract
- On the unit ball of C-n, the space of those holomorphic functions satisfying mean Lipschitz condition (0)integral(1)omega(p)*(t, f)(q)dt/t(1+q) < infinity is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where omega(p)*(t, f) denotes the double difference L-p modulus of continuity defined in terms of the unitary transformations of C-n .
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