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An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations
In this work, we prove a nonlocal Halanay inequality with an exact decay rate. This enables us to analyze behavior of solutions to some classes of...
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Special representatives of complexified Kähler classes
Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of...
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Sobolev and Besov Classes on Infinite-Dimensional Spaces
AbstractWe discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of...
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Fixed Point Theorems and Hardy Classes
A survey of several recent applications of fixed point theorems for multivalued maps to interpolation of Hardy classes and to certain topics related...
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Nevanlinna–Djrbashian Classes in the Halfplane
We start by a preliminary statement on a representation formula in some weighted classes of harmonic functions.
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Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices
We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type...
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On Generalized Bessel Potentials and Perfect Functional Completions
AbstractThe class of generalized Bessel potentials is the main object of study in this paper. The generalized Bessel potential is a negative real...
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Stability of Boolean Function Classes with Respect to Clones of Linear Functions
We consider classes of Boolean functions stable under compositions both from the right and from the left with clones. Motivated by the question how...
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Some Classes of Probability Distributions
The relevance of the previously introduced moment and correlation-type functionals can be illustrated by examples of some classical classes of...
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New classes of univalent functions using a new differential operator
In this paper we present new classes of univalent functions, or more generally, a new univalence criteria for normalized analytic functions, using an...
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Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth
While the asymptotic Borel map**, sending a function into its series of asymptotic expansion in a sector, is known to be surjective for arbitrary...
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The Schatten Classes of Calderón–Zygmund Operators
We prove sufficient conditions for a Calderón–Zygmund operator to belong to the Schatten classes. As in the classical T 1 theory, the conditions are...
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Upper bounds for the critical values of homology classes of loops
In this short note we discuss upper bounds for the critical values of homology classes in the based and free loop space of compact manifolds carrying...
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Characterization of the Bernoulli polynomials via the Raabe functional equation
The purpose of the present paper is to show that in certain classes of real (or complex) functions, Bernoulli polynomials are essentially the only...
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Functional Calculi
The functional calculus aims to define f(A) where A is a fixed operator, and f belongs to some classes of functions defined in domains containing...
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Ensemble Aggregation Approaches for Functional Optimization
In this work we investigate the use of ensemble methods, consisting in the aggregation of several approximating models, in the context of functional...
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Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform
We characterize the Hilbert–Schmidt class membership of commutator with the Hilbert transform in the two weight setting. The characterization depends...
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Bounded Functional Calculi for Unbounded Operators
This article summarises the theory of several bounded functional calculi for unbounded operators that have recently been discovered. They extend the...