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On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces
Distance estimates harmonic function unit ball Bergman spaces
2012/5/9
We provide some new estimates for distances in harmonic function spaces of several variables related to mixed norm spaces.Some of them extend previously known assertions in this direction in the unit ...
A property of the derivative of an entire function
derivative of an entire function Complex Variables
2011/9/16
Abstract: We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set.
$\mathcal{C}^{\infty}$-hypoellipticity and extension of $CR$ function
CR-hypoelliptic CR-embedding holomorphic extension C∞ wave front set holomorphic wedge extension
2011/9/14
Abstract: Let $M$ be a $CR$ submanifold of a complex manifold $X$. The main result of this article is to show that $CR$-hypoellipticity at $p_0\in{M}$ is necessary and sufficient for holomorphic exten...
On some new theorems on multipliers in harmonic function spaces in higher dimension II
multipliers spaces of harmonic functions Bergman type mixed norm spaces spherical harmonics
2011/9/5
Abstract: We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of $R^n$.
The Flux-Flux Correlation Function for Anharmonic Barriers
Flux-Flux Correlation Function Anharmonic Barriers
2010/12/16
The flux-flux correlation function formalism is a standard and widely used approach for the
computation of reaction rates. In this paper we introduce a method to compute the classical and
quantum fl...
Estimates of the Green function for the fractional Laplacian perturbed by gradient
Estimates of the Green function fractional Laplacian
2010/12/6
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturba-tions are comparable for bounded smooth multidimensional open s...