Regularization of Some Classes of Ultradistribution Semigroups and Sines
Regularization of star bodies by random hyperplane cut off
We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.
Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data.
Regularly Varying Distributions
Regularly varying ultradistributions
Regulated domains and Bergman type projections.
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.
Reinhardt domains and the Gleason problem
Reiteration and a Wolff theorem for interpolation methods defined by means of polygons
We prove a reiteration theorem for interpolationmethods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [5].
Réitération de modèles étalés
Relation between fixed point and asymptotical center of nonexpansive maps.
Relation between order and topology in vector spaces. The completion of locally (O)-Symmetric spaces
Relations among some closed graph and open mapping theorems
Relations between certain theories in functional analysis and general topology
Relations between limit-point and Dirichlet properties of second-order difference operators.
Relations between Shy Sets and Sets of -Measure Zero in Solovay’s Model
An example of a non-zero non-atomic translation-invariant Borel measure on the Banach space is constructed in Solovay’s model. It is established that, for 1 ≤ p < ∞, the condition "-almost every element of has a property P" implies that “almost every” element of (in the sense of [4]) has the property P. It is also shown that the converse is not valid.
Relations Between Summing Norms of Mappings on ln... .
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...