논문KCI 등재
Holomorphic mean Lipschitz functions on the unit ball of Cn
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On the unit ball of Cn, the space of those holomorphic functions satisfying the mean Lipschitz condition∫10 wp(t,f)q dt/t1+αq＜ ∞ characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp(t, f) denotes the Lp modulus of continuity defined in terms of the unitary transformations of Cn.
Abstract
On the unit ball of Cn, the space of those holomorphic functions satisfying the mean Lipschitz condition∫10 wp(t,f)q dt/t1+αq＜ ∞ characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp(t, f) denotes the Lp modulus of continuity defined in terms of the unitary transformations of Cn.
참고문헌 (12)
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- P. L. Duren, "Theory of Hp Spaces" (1970), Academic Press
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- G. H. Hardy, "Some properties of fractional integrals II", Math. Z, 34(1), pp.403~439 (1932)
- M. Jevti´c, "On M-harmonic Bloch space", Proc. Amer. Math. Soc, 123(5), pp.1385~1392 (1995)
- H. T. Kaptanoˇglu, "Carleson measures for Besov spaces on the ball with applications", J. Funct. Anal, 250(2), pp.483~520 (2007)
- M. Pavlovi´c, "Lipschitz spaces and spaces of harmonic functions in the unit disc", Michi- gan Math. J, 35(2), pp.301~311 (1988)
- M. Pavlovi´c, "On the moduli of continuity of Hp functions with 0 < p < 1", Proc. Edinb. Math. Soc. (2), 35(1), pp.89~100 (1992)
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- E. M. Stein, "Singular Integrals and Differentiability Properties of functions" (1970), Princeton University Press
관련 논문AI추천
Holomorphic functions satisfying mean Lipschitzcondition in the ball구형운, 권언근, 조홍래대한수학회 · 대한수학회지2007 · 제44권 제4호Fatou theorem and embedding theorems for the mean Lipschitz functions on the unit ball이진기, 조홍래대한수학회 · 대한수학회논문집2009 · 제24권 제2호CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALLSongxiao Li대한수학회 · 대한수학회보2012 · 제49권 제1호Lipschitz type characterization of Fock type spaces조홍래, 하정민대한수학회 · 대한수학회보2022 · 제59권 제6호Characterizations for the Fock-type spaces남계숙, 조홍래, 하정민대한수학회 · 대한수학회보2019 · 제56권 제3호Division problem in generalized growth spaces on the unit ball in Cn박수현, 이한울, 조홍래영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호
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