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Classification of Measurable Functions of Several Variables and Matrix Distributions
AbstractWe consider the notion of the matrix (tensor) distribution of a measurable function of several variables. On the one hand, this is an...
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Algebras of Entire Symmetric Functions on Spaces of Lebesgue-Measurable Essentially Bounded Functions
It is shown that the Fréchet algebra of all entire symmetric functions of bounded type on the complex Banach space of all Lebesgue measurable...
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Measurable Operators
This chapter presents the basic theory of measurable and \(\tau \)...
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Space-time integral currents of bounded variation
Motivated by a recent model for elasto-plastic evolutions that are driven by the flow of dislocations, this work develops a theory of space-time...
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Schauder Estimates for Kolmogorov-Fokker-Planck Operators with Coefficients Measurable in Time and Hölder Continuous in Space
We consider degenerate Kolmogorov-Fokker-Planck operators $$\mathcal...
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Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces
We obtain some new characterizations of a variable version of Lipschitz spaces in terms of the boundedness of commutators of sharp maximal functions,...
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On Solvability of Parabolic Equations with Essentially Nonlinear Differential-Difference Operators
We consider the first mixed boundary value problem for a nonlinear differential-difference parabolic equation. We give some sufficient conditions for...
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UNIVERSALITY OF NEURAL NETWORKS WITH A SIGMOIDAL ACTIVATION OR DISCRIMINATORY FUNCTIONS ON FUNCTIONAL BANACH LATTICES OVER THE REAL LINE
The universality of neural networks with sigmoidal or discriminatory functions are characterized on functional Banach lattices. This study is an...
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On the characterization of harmonic functions with initial data in Morrey space
Let ( X, d, μ ) be a metric measure space satisfying the doubling condition and an L 2 -Poincaré inequality. Consider the nonnegative operator
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Clark Measures on Bounded Symmetric Domains
Given a bounded symmetric domain D , we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark...
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Ordinary Differential Equations with Measurable Inputs
In this chapter, we recall basic concepts and results of the theory of ordinary differential equations (ODEs) with measurable inputs (“Carathéodory...
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Existence of Bounded Solutions for a Weighted Quasilinear Elliptic Equation in RN
In this paper we establish a new existence result for the quasilinear elliptic equation...
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The Faber Operator Acting on BMOA, BMO-Teichmüller Space and Chord-arc Curves
After reviewing Grunsky operator and Faber operator acting on Dirichlet space, we discuss the boundedness of Faber operator on BMOA, a new subject...