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On the geometry of spaces of homogeneous type and the democracy of Haar systems in Lorentz spaces
(Academic Press Inc Elsevier Science, 2019-08)
We explore the relation of the geometric structure of the underlying space and the democratic character of Haar systems in Lorentz spaces. We show that, aside from homogeneity, some particular behavior of the space at large ...
Characterization of coorbit spaces with phase-space covers
(Academic Press Inc Elsevier Science, 2012-01)
We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for ...
Extra Invariance of a Shift-Invariant Space in LCA Groups
(Elsevier, 2010-10)
This article generalizes recent results in the extra invariance for shift-invariant spaces to the context of LCA groups. Let G be a locally compact abelian (LCA) group and K a closed subgroup of G. A closed subspace of ...
A stronger reformulation of Webb's conjecture in terms of finite topological spaces
(Academic Press Inc Elsevier Science, 2019-06)
We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by ...
Borel and Hausdorff hierarchies in topological spaces of Choquet games and their effectivization
(Cambridge University Press, 2015-10)
What parts of the classical descriptive set theory done in Polish spaces still hold for more general topological spaces, possibly T0 or T1, but not T2 (i.e. not Hausdorff)? This question has been addressed by Selivanov in ...
Fractional order Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-04)
In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter s↑1 in the spirit of the celebrated result of Bourgain-Br ...
Magnetic fractional order orlicz-sobolev spaces
(Polish Academy of Sciences. Institute of Mathematics, 2021-01)
We define the notion of nonlocal magnetic Sobolev spaces with nonstandard growth for Lipschitz magnetic fields. In this context we prove a Bourgain-Brezis- Mironescu type formula for functions in this space as well as for ...
The Riesz potential as a multilinear operator into general BMOβ spaces
(Springer Science, 2011-03)
Given α > 0 and a space of homogeneous type X, n-normal, with n ℝ+, we consider an extension of the standard multilinear fractional integral on Lp1 × ... × Lpk for the range of 1/pi = 1/p1...+1/pk -α/n ≤ 0. We show that ...
World Images and The Time-Space Notions: From An Epistemological Point of View
(Paripex, 2014-02)
This paper propose to show the relevance of a reconsideration of the time-space notions, in order to make possible an epistemological analysis of the world images as an ontological component of theories. The argumentative ...
Hypercyclic convolution operators on Fréchet spaces of analytic functions
(Academic Press Inc Elsevier Science, 2007-12)
A result of Godefroy and Shapiro states that the convolution operators on the space of entire functions on Cn, which are not multiples of identity, are hypercyclic. Analogues of this result have appeared for some spaces ...