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Polynomial inequalities on measurable sets in lorentz spaces and their applications
(Element, 2020-04)
In this short note, we study inequalities for algebraic polynomials on measurable sets in Lorentz spaces and discuss their applications to best approximation.
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 ...
Haar type bases in lorentz spaces via extrapolation
(Unión Matemática Argentina, 2012-06)
In this note we consider Haar type systems as unconditional bases for Lorentz spaces defined on spaces of homogeneous type. We also give characterizations of these spaces in terms of the Haar coefficients. The basic tools ...
Weak inequalities for maximal functions in Orlicz–Lorentz spaces and applications
(Academic Press Inc Elsevier Science, 2010-02)
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon}(x) be any best constant approximation of f in Lambda_{w,phi´} on B(x,epsilon). Weak inequalities for maximal functions ...
Noncommutativity in (2+1)-dimensions and the Lorentz group
(American Physical Society, 2012-11)
In this article we considered models of particles living in a three-dimensional space-time with a nonstandard noncommutativity induced by shifting canonical coordinates and momenta with generators of a unitary irreducible ...
Noncommutativity in field space and lorentz invariance violationPHYSICS LETTERS BPHYS LETT B
(ELSEVIER SCIENCE B.V., 2017)
Noncommutativity in field space and lorentz invariance violationPHYSICS LETTERS BPHYS LETT B
(ELSEVIER SCIENCE B.V., 2017)
Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz invariant tempered distributions
(IOP Publishing, 2018-11)
The Dimensional Regularization (DR) of Bollini and Giambiagi (BG) can not be defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S'L. In this paper we overcome such limitation and show ...
History state formalism for scalar particles
(American Physical Society, 2019-12-30)
We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt-like equation, whose projection onto ...