Search
Search Results
-
Relatively compact sets of Banach space-valued bounded-variation spaces
In this paper, we give criteria for the relatively compact sets of Banach space-valued bounded-variation spaces in the sense of Jordan and Banach...
-
Convolution Integral Operators in Variable Bounded Variation Spaces
Working in the frame of variable bounded variation spaces in the sense of Wiener, introduced by Castillo, Merentes, and Rafeiro, we prove convergence...
-
A Note on Generalized Tricircular Projections on Spaces of Bounded Variation Functions
A nonzero projection P on a complex Banach space is called a generalized tricircular projection if there exist distinct modulus one complex numbers
... -
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators
We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), map** a compact interval [ a , b ] into...
-
2-Topological reflexivity of sets of isometries between bounded variation function spaces
Given two subsets X and Y of the real line with at least two points, BV ( X ) and BV ( Y ) denote the Banach spaces of all functions of bounded variation...
-
Brief Survey on Functions of Bounded Variation (BV) in Metric Setting
In this note we give an introductory description of the theory of functions of bounded variation (BV) in the nonsmooth setting of metric measure...
-
Functions of Least Gradient
This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a...
-
Banach Spaces of Functions Delta-Subharmonic in the Unit Disc
In this chapter we introduce some Banach spaces of delta-subharmonic in...
-
A new space of generalised functions with bounded variation motivated by fracture mechanics
We introduce a new space of generalised functions with bounded variation to prove the existence of a solution to a minimum problem that arises in the...
-
A New Estimate of Double Fourier Coefficients for Functions of Bounded Generalized Variation
AbstractWe consider classes of functions of two variables having generalized bounded variation in the sense of symmetric spaces of sequences and...
-
Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator
In this work, we study the existence of a nontrivial bounded variation solution to a class of nonlocal elliptic problems of Kirchhoff type involving...
-
Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,...
-
Banach Spaces of Functions Delta-subharmonic in the Halfplane
In this chapter, we introduce and investigate several Banach spaces of Green-type potentials in...
-
Fourier Quasicrystals and Distributions on Euclidean Spaces with Spectrum of Bounded Density
We consider temperate distributions on Euclidean spaces with uniformly discrete support and locally finite spectrum. We find conditions on...