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초록
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.
키워드
mean Lipschitz condition; Besov space; mean modulus of continuity; BESOV-SPACES; CARLESON MEASURES
- 제목
- HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF C-n
- 저자
- Kwon, Ern Gun; Cho, Hong Rae; Koo, Hyungwoon
- 발행일
- 2013-01
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 50
- 호
- 1
- 페이지
- 189 ~ 202