HARDY-SOBOLEV SPACES OF COMPLEX TANGENTIAL DERIVATIVES OF HOLOMORPHIC FUNCTIONS IN DOMAINS OF FINITE TYPE

Grellier, Sandrine

HAL, hal-00077115 / Harvested from HAL

Résumé

In this paper, we prove Fefferman-Stein like characterizations of Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite type in Cn. We also study the relationship between these complex tangential Hardy-Sobolev spaces and the usual ones. We also obtain partial results on domains not necessarily of finite type.

Publié le : 2002-07-05
Classification: domains of finite type, Hardy spaces, Hardy-Sobolev spaces, maximal functions, area integrals, Fefferman-Stein Theory, complex tangential derivatives, 32A10- 32A25- 32A87- 47B10- 47B35, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]

@article{hal-00077115,
     author = {Grellier, Sandrine},
     title = {HARDY-SOBOLEV SPACES OF COMPLEX TANGENTIAL DERIVATIVES OF HOLOMORPHIC FUNCTIONS IN DOMAINS OF FINITE TYPE},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00077115}
}

Grellier, Sandrine. HARDY-SOBOLEV SPACES OF COMPLEX TANGENTIAL DERIVATIVES OF HOLOMORPHIC FUNCTIONS IN DOMAINS OF FINITE TYPE. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00077115/