Recent Advances in Mathematical Analysis: Celebrating the 70th Anniversary of Francesco Altomare

Rector's Foreword
Preface
From ReDiMA 2021 Opening Ceremony
Contents
List of Contributors
On Wachnicki's Generalization of the Gauss–Weierstrass Integral
	1 Introduction
	2 The Operators
	3 The Asymptotic Expansion
	4 Localization Result
	References
Generalized Subharmonic and Weakly Convex Functions
	1 Introduction
	2 A Conjecture
	3 A Result Related to the Conjecture
	References
A Strong Variant of Weyl's Theorem Under Functional Calculus and Perturbations
	1 Introduction
	2 Definitions and Preliminary Results
	3 S-Weyl's Theorem
	4 S-Weyl's Theorem Under Commuting Perturbations
	References
Multiplication and Convolution Topological Algebras in Spaces of ω-Ultradifferentiable Functions of Beurling Type
	1 Introduction
	2 Definitions and Preliminary Results
	3 The Algebras (OM,ω(RN),·), (Sω(RN),·), (Sω(RN),) and (OC,ω(RN),)
	4 Hypocontinuity and Discontinuity
		4.1 Hypocontinuity
		4.2 Discontinuity
	References
Higher Order Elliptic Equations in Generalized Morrey Spaces
	1 Introduction
	2 Definitions and Preliminary Results
	3 Statement of the Problem and the Main Result
	References
Norm and Essential Norm of Composition Operators Mapping into Weighted Banach Spaces of Harmonic Mappings
	1 Introduction
	2 Boundedness, Compactness, and Operator Norm
	3 Essential Norm
	4 Applications to Hilbert Spaces of Harmonic Mappings
		4.1 The Harmonic Hardy Space
		4.2 The Harmonic Bergman Space
		4.3 The Harmonic Dirichlet Space
	5 An Application to the Harmonic Bloch Space
	References
Generalized Gaussian Estimates for Elliptic Operators with Unbounded Coefficients on Domains
	1 Introduction
	2 Preliminaries
		2.1 Sesquilinear Forms and Properties of the Associated Semigroups
		2.2 Finite-Dimensional Sesquilinear Forms with Real Coefficients
	3 A Second Order Elliptic Operator on Ω with Unbounded Coefficients
	4 Gaussian Estimates
	5 The Lp-Analyticity of the Semigroup (T(t))
	6 Examples
	References
An Existence Result for Perturbed (p,q)-Quasilinear EllipticProblems
	1 Introduction
	2 Preliminary Material
		2.1 Quasi-Eigenvalues for the Operator -p-q
		2.2 Variational Tools
		2.3 Essential Values
	3 The Unperturbed Case
	4 The Perturbed Case
	References
Weighted Composition Operators on Weighted Spaces of Banach Valued Analytic Functions
	1 Introduction
	2 The Operator Wψ,φ on Weighted Banach Spaces of Vector-Valued Functions
	3 Inductive Limits of Weighted Banach Spaces of Vector-Valued Functions
	4 Projective Limits of Weighted Banach Spaces of Vector-Valued Functions
	References
Existence of Positive Solutions of Nonlinear Second Order Dirichlet Problems Perturbed by Integral Boundary Conditions
	1 Introduction
	2 Linear Part: Green's Function
		2.1 Case γ=0
		2.2 Case γ>0
		2.3 Case  γ<0
	3 Nonlinear Problem
		3.1 Problem (2), (3)
	References
A Degenerate Operator in Non Divergence Form
	1 Introduction
	2 The Fourth Order Operator if the Degeneracy Point belongs to the Boundary
	3 The Domain of the Operator A and the Case x0 (0,1)
	4 The General Operator of Order 2n
	References
Korovkin Approximation of Set-Valued Integrable Functions
	1 Introduction and Notation
	2 Korovkin-Type Results in the Cone of Set-Valued Integrable Functions
	3 Sequences of Set-Valued Kantorovich and Bernstein-Durrmeyer Operators
	References
Convergence of a Class of Generalized Sampling Kantorovich Operators Perturbed by Multiplicative Noise
	1 Introduction
	2 Notations and Preliminary Results
	3 Convergence Theorems
	4 Link to Classical Settings
	References
A Modification of Bernstein-Durrmeyer Operators with Jacobi Weights on the Unit Interval
	1 Introduction
	2 Preliminaries
	3 Modified Bernstein-Durrmeyer Operators with Jacobi Weights
	4 Asymptotic Formula and Its Consequences
	References
On a Particular Scaling for the Prototype Anisotropic p-Laplacian
	1 Introduction to the Problem
		1.1 Structure of the Paper
	2 Preliminaries
		2.1 Scaling Properties of Solutions
	3 Scaling Invariants
	4 A Topological Consequence of Energy Invariants: Lower Semi-Continuity of Super-Solutions
	References
A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima
	1 Introduction
	2 Limit Problem and Neighborhood of Expected Solutions
		2.1 Limit Problems
	3 -Dependent Distance and a Neighborhood of Expected Solutions
	4 Concentration-Compactness Type Result
	5 Tail Minimizing Vector Field
	6 Deformation Argument
		6.1 Deformation Result
		6.2 A Special Vector Field for Deformation
	7 Proof of Theorem 1.1
	References
Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
	1 Introduction
	2 Setting the Scene: The Operators (-)r and (r)
	3 Some Comparisons of Semigroups
	4 Two Detailed Examples and a Problem of General Nature
	5 More Examples and Observations
	References
On Oscillatory Behavior of Third Order Half-Linear Difference Equations
	1 Introduction
	2 Main Results
	References
Existence of Bounded Solutions for a Weighted Quasilinear Elliptic Equation in RN
	1 Introduction
	2 Abstract Setting
	3 Variational Framework and Regularity Result
	4 The Main Theorem and Related Results
	5 Proof of the Theorem 4.1
	References
Elliptic and Parabolic Problems for a Bessel-Type Operator
	1 Introduction
	2 The Multiplier Nλ,σ(ξ,s)=exp(-csσsrλ+ Q(ξ,r) dr)
	3 The Elliptic Problem
		3.1 Weighted Spaces
	4 Elliptic Regularity
	5 The Parabolic Problem
	6 Comments on the Associated Semigroup
	7 Appendix 1: A Review of Some Classic Multipliers
	8 Appendix 2: The Method of Continuity
	References
Anisotropic (p,q)-Equations with Convex and NegativeConcave Terms
	1 Introduction
	2 Preliminaries
	3 Conditions and Hypotheses
	4 Auxiliary Propositions
	5 Proof of Main Theorem
		5.1 Existence of Two Solutions
		5.2 Existence of Third Solution
	References
Implicit Coupled k-Generalized ψ-Hilfer Fractional Differential Systems with Terminal Conditions in Banach Spaces
	1 Introduction
	2 Preliminaries
	3 Existence of Solutions
	4 An Example
	References