In this paper we develop the Hp (p [greater than or equal] 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Korányi-Vági type on this ball

Anh, Nguyên Viêt

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Revistes Catalanes amb Accés Obert

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English

Applications holomorphes propres entre certains domaines born´ es de Cn,

Automorphism groups of certain domains in Cn with a singular boundary,

Balls and metrics deﬁned by vector ﬁelds. I. Basic properties,

Boundary behavior of functions holomorphic in domains of ﬁnite type,

Boundary behavior of holomorphic functions of several complex variables”,

Duality theorems for certain analytic spaces on the minimal ball,

Function theory in the unit ball of Cn”,

Harmonic functions on Hermitian hyperbolic space,

Inequalities for the maximal function relative to a metric,

Lipschitz estimates for the ∂-equation on the minimal ball,

Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of Cn,

On a minimal complexnorm that extends the real Euclidean norm,

On certain maximal functions and approach regions,

Proper holomorphic lifting of the Bergman and Szeg¨ o kernels for some complexdomains,

Proper holomorphic mappings and related automorphism groups,

The Bergman kernel of the minimal ball and applications,

The Lu Qi-Keng conjecture fails for strongly convexalgebraic domains,

The weighted Bergman projection and related theory on the minimal ball,

Weighted norm inequalities for maximal functions and singular integrals,

Fatou and Korányi-Vági type theorems on the minimal ball