Regularity results for vector fields of bounded distortion and applications.
Regularization of closed-valued multifunctions in a non-metric setting
Regularly Varying Distributions
Regularly Varying Sequences and Entire Functions of Finite Order
Regularly varying solutions of generalized Thomas-Fermi equations
Regulární variace: od škálové invariance ke konvergenčním testům
Článek se snaží přiblížit některé aspekty teorie regulární variace. Jde o pojem z klasické analýzy, který má bohatou historii a četné aplikace v teorii pravděpodobnosti, teorii čísel, integrálních transformacích, komplexní analýze, diferenciálních rovnicích, teorii her či teorii grafů. Regulárně měnící se funkce mají souvislost s mnoha matematickými pojmy, včetně škálové invariance, kterou náš výklad začíná, či konvergenčními testy pro nekonečné řady, kterými náš výklad končí. V průběhu výkladu...
Regulated functions
The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
Regulated functions and the Perron-Stieltjes integral
Regulated functions with values in Banach space
This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
Rein analytischer Beweis des Lehrsatzes daß zwischen je zwey Werthen, die ein entgegengesetzetes Resultat gewähren, wenigstens eine reelle Wurzel der Gleichung liege [Book]
Relations between some general nth-order derivatives
Relations between weighted Orlicz and spaces through fractional integrals
We characterize the class of weights, invariant under dilations, for which a modified fractional integral operator maps weak weighted Orlicz spaces into appropriate weighted versions of the spaces , where . This generalizes known results about boundedness of from weak into Lipschitz spaces for and from weak into . It turns out that the class of weights corresponding to acting on weak for of lower type equal or greater than , is the same as the one solving the problem for weak...
Relative boundedness and compactness theory for second-order differential operators.
Relative Differenzeneigenschaft
Relative rearrangement and interpolation inequalities.
We prove here that the Poincaré-Sobolev pointwise inequalities for the relative rearrangement can be considered as the root of a great number of inequalities in various sets not necessarily vector spaces. In particular, new interpolation inequalities can be derived.
Relative rearrangement on a finite measure space. Application to weighted spaces and to P.D.E.
Relative rearrangement on a finite measure space. Application to the regularity of weighted monotone rearrangement (Part I)
Relativistic wave equations with fractional derivatives and pseudodifferential operators.
Relativization of some aspects of the theory of functions of bounded variation [Book]
Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces
This article studies an integral representation of functionals of linear growth on metric measure spaces with a doubling measure and a Poincaré inequality. Such a functional is defined via relaxation, and it defines a Radon measure on the space. For the singular part of the functional, we get the expected integral representation with respect to the variation measure. A new feature is that in the representation for the absolutely continuous part, a constant appears already in the weighted Euclidean...