A Bochner-Martinelli formula for vector fields which satisfy the generalized Cauchy-Riemann equations
A boundary rigidity problem for holomorphic mappings.
A calculus for meromorphic currents.
A Carleman theorem for curves in C...
A Carleson inequality for functions with their derivatives on the unit ball
The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for functions with their derivatives on the unit ball.
A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of .
A Characterization of C(X) Among Algebras on Planar Sets by the Existence of a Finite Universal Korovkin System.
A characterization of Hardy-Orlicz spaces on C...
A characterization of linear automorphisms of the Euclidean ball
Let B be the open unit ball for a norm on . Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on . 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.
A Characterization of the Polydisc.
A characterization of totally real generic submanifolds of strictly pseudoconvex boundaries in Cn admitting a local foliation by interpolation submanifolds.
A class of integral operators on mixed norm spaces in the unit ball
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.
A constructive proof of the composition rule for Taylor's functional calculus
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.
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)
A counter-example in singular integral theory
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 and suppose f vanishes outside of a compact subset of , 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 -sense. Set . Then F(x) = O(log²r) as r → 0 in the -sense, 1 < p < ∞....
A direct sum representation
A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.