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In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
This paper introduces some notions of e ective dimension for weighted function spaces. A space has low e ective dimension if the smallest ball in it that contains a function of variance 1, has no fu...
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let Belt(S) be the Banach space of bounded measurable Beltrami differentials μ = μdz/dz on S with L∞-norms. Suppose M(...
Suppose that $E$ and $E'$ denote real Banach spaces with the same dimension at least 2. The main aim of this paper is to show that a domain $D$ in $E$ is a $\psi$-uniform domain if and only if $D\back...
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 ...
Let (X,u) be a measure space. In thispaper, using some ideas from L. Grafakos and N. Kalton, the authorsestablish an off-diagonal Marcinkiewicz interpolation theorem for aquasilinear operator T in Lor...
Abstract: We give solutions to some extremal problems involving distance function in mixed norm spaces of harmonic functions on the unit ball of R^n.
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Abstract: We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoconvex domai...
Abstract: We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of $R^n$.
Abstract: We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author ...
We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let $f:X \rightarrow R$ be bounded, Lipschitz, and $C^1$ with uniformly continuous d...
I present an inverse function theorem for differentiable maps between Frechet spaces which contains the classical theorem of Nash and Moser as a particular case. In contrast to the latter, the proof ...

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