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The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for $B M O A$ functions with their derivatives on the unit ball.

A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of $m a t h b b C^{n}$ .

E. Amar (2009)

Publicacions Matemàtiques

A Characterization of C(X) Among Algebras on Planar Sets by the Existence of a Finite Universal Korovkin System.

M. Pannenberg (1987)

Mathematische Annalen

A characterization of Hardy-Orlicz spaces on C...

Juhani Riihentaus, Caiheng Ouyang (1997)

Mathematica Scandinavica

A characterization of linear automorphisms of the Euclidean ball

Hidetaka Hamada, Tatsuhiro Honda (1999)

Annales Polonici Mathematici

Let B be the open unit ball for a norm on $ℂ^{n}$ . Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^{n}$ . Moreover, in the case of the Euclidean ball , we show that f is a linear automorphism of under this condition.

A Characterization of the Ball by its Intrinsic Metrics.

Charles M. Stanton (1983)

Mathematische Annalen

A Characterization of the Polydisc.

Charles M. Stanton (1980)

Mathematische Annalen

A characterization of totally real generic submanifolds of strictly pseudoconvex boundaries in Cn admitting a local foliation by interpolation submanifolds.

Andrei Iordan (1990)

Mathematische Annalen

A class of integral operators on mixed norm spaces in the unit ball

Songxiao Li (2007)

Czechoslovak Mathematical Journal

This article provided some sufficient or necessary conditions for a class of integral operators to be bounded on mixed norm spaces in the unit ball.

A Construction of Inner Functions on the Unit Ball in Cp.

Erik Low (1982)

Inventiones mathematicae

A constructive proof of the composition rule for Taylor's functional calculus

Mats Andersson, Sebastian Sandberg (2000)

Studia Mathematica

We give a new constructive proof of the composition rule for Taylor's functional calculus for commuting operators on a Banach space.

A Contraction of S U (2) to the Heisenberg Group.

Fulvio Ricci (1986)

Monatshefte für Mathematik

A correction to and a remark on our paper "Remarks on the proof of a generalized Hartogs Lemma" (Ann. Polon. Math. 70 (1998), 43-47)

Evgeni Chirka, Jean-Pierre Rosay (2004)

Annales Polonici Mathematici

A counter-example in singular integral theory

Lawrence B. Difiore, Victor L. Shapiro (2012)

Studia Mathematica

An improvement of a lemma of Calderón and Zygmund involving singular spherical harmonic kernels is obtained and a counter-example is given to show that this result is best possible. In a particular case when the singularity is O(|log r|), let $f \in C ¹ (ℝ^{N} ∖ 0)$ and suppose f vanishes outside of a compact subset of $ℝ^{N}$ , N ≥ 2. Also, let k(x) be a Calderón-Zygmund kernel of spherical harmonic type. Suppose f(x) = O(|log r|) as r → 0 in the $L^{p}$ -sense. Set $F (x) = \int_{ℝ^{N}} k (x - y) f (y) d y \forall x \in ℝ^{N} ∖ 0$ . Then F(x) = O(log²r) as r → 0 in the $L^{p}$ -sense, 1 < p < ∞....

A direct sum representation

Myers, Donald E. (1975)

Portugaliae mathematica

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