Author:
Kang Hyeonbae,Koo Hyungwoon
Abstract
AbstractWe characterize those positive measure µ’s on the higher dimensional unit ball such that “two-weighted inequalities” hold for holomorphic functions and their derivatives. Characterizations are given in terms of the Carleson measure conditions. The results of this paper also distinguish between the fractional and the tangential derivatives.
Publisher
Cambridge University Press (CUP)
Reference19 articles.
1. Beatrous F. and Burbea J. , Sobolev spaces of holomorphic functions in the unit ball, Dissertations Math., 276 (1989), 1–60.
2. Luecking D. , Forward and reverse Carleson inequalities for functions in the Bergman spaces and their derivatives, Amer. J. Math., 107 (1985), 85–111.
3. Girela D. , Lorente M. and Sarrion M. D. , Embedding derivatives of weighted Hardy spaces into Lebesgue spaces, Math. Proc. Camb. Phil. Soc., 116 (1994), 151-166.
4. Luecking D. , Embedding derivatives of Hardy spaces into Lebesgue spaces, Proc. London. Math. Soc., 63(3) (1991), 595–619.
5. Carleson L. , Interpolation by bounded analytic functions and the corona problem, Ann. of Math., 76 (1962), 547–559.
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