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Recent Advances in Mathematical Analysis

Celebrating the 70th Anniversary of Francesco Altomare

  • Book
  • © 2023

Overview

Editors:
  1. Anna Maria Candela

    1. Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, Bari, Italy

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  2. Mirella Cappelletti Montano

    1. Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, Bari, Italy

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  3. Elisabetta Mangino

    1. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce, Italy

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  • Covers some of the most innovative topics in Mathematical Analysis
  • Includes papers by respected researchers in the field of Mathematical Analysis
  • Promotes the interchange of ideas among researches in different areas of Mathematical Analysis

Part of the book series: Trends in Mathematics (TM)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xviii
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  2. On Wachnicki’s Generalization of the Gauss–Weierstrass Integral

    • Ulrich Abel, Octavian Agratini
    Pages 1-13

  3. Generalized Subharmonic and Weakly Convex Functions

    • Ana-Maria Acu, Ioan Raşa
    Pages 15-21

  4. A Strong Variant of Weyl’s Theorem Under Functional Calculus and Perturbations

    • Pietro Aiena
    Pages 23-36

  5. Multiplication and Convolution Topological Algebras in Spaces of ω-Ultradifferentiable Functions of Beurling Type

    • Angela A. Albanese, Claudio Mele
    Pages 37-56

  6. Higher Order Elliptic Equations in Generalized Morrey Spaces

    • Emilia Anna Alfano, Dian K. Palagachev, Lubomira Softova
    Pages 57-68

  7. Norm and Essential Norm of Composition Operators Mapping into Weighted Banach Spaces of Harmonic Mappings

    • Munirah Aljuaid, Flavia Colonna
    Pages 69-94

  8. Generalized Gaussian Estimates for Elliptic Operators with Unbounded Coefficients on Domains

    • Luciana Angiuli, Luca Lorenzi, Elisabetta Mangino
    Pages 95-133

  9. An Existence Result for Perturbed (p,q)-Quasilinear Elliptic Problems

    • Rossella Bartolo, Anna Maria Candela, Addolorata Salvatore
    Pages 135-164

  10. Weighted Composition Operators on Weighted Spaces of Banach Valued Analytic Functions

    • José Bonet, Esther Gómez-Orts
    Pages 165-181

  11. Existence of Positive Solutions of Nonlinear Second Order Dirichlet Problems Perturbed by Integral Boundary Conditions

    • Alberto Cabada, Lucía López-Somoza, Mouhcine Yousfi
    Pages 183-208

  12. A Degenerate Operator in Non Divergence Form

    • Alessandro Camasta, Genni Fragnelli
    Pages 209-235

  13. Korovkin Approximation of Set-Valued Integrable Functions

    • Michele Campiti
    Pages 237-247

  14. Convergence of a Class of Generalized Sampling Kantorovich Operators Perturbed by Multiplicative Noise

    • Marco Cantarini, Danilo Costarelli, Gianluca Vinti
    Pages 249-267

  15. A Modification of Bernstein-Durrmeyer Operators with Jacobi Weights on the Unit Interval

    • Mirella CappellettiMontano, Vita Leonessa
    Pages 269-287

  16. On a Particular Scaling for the Prototype Anisotropic p-Laplacian

    • Simone Ciani, Umberto Guarnotta, Vincenzo Vespri
    Pages 289-308

  17. A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima

    • Silvia Cingolani, Kazunaga Tanaka
    Pages 309-331

  18. Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators

    • Kristian P. Evans, Niels Jacob
    Pages 333-362

  19. On Oscillatory Behavior of Third Order Half-Linear Difference Equations

    • Said R. Grace
    Pages 363-370

  20. Existence of Bounded Solutions for a Weighted Quasilinear Elliptic Equation in RN

    • Federica Mennuni, Addolorata Salvatore
    Pages 371-395
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Keywords

About this book

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

Editors and Affiliations

  • Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, Bari, Italy

    Anna Maria Candela, Mirella Cappelletti Montano

  • Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce, Italy

    Elisabetta Mangino

About the editors

Anna Maria Candela Anna Maria Candela is Full Professor in Mathematical Analysis, member of the Accademia Pugliese delle Scienze (Apulian Academy of Sciences) and, currently, Vice Rector (Pro Rettore Vicario) of Università degli Studi di Bari Aldo Moro (Bari, Italy). Her fields of expertise are Variational and Topological Methods applied to the study of Nonlinear Differential Equations, in particular to geodesics and trajectories in semi-Riemannian manifolds and to quasilinear elliptic problems both in bounded and unbounded domains.   

Mirella Cappelletti Montano Mirella Cappelletti Montano obtained a Ph.D. in Mathematics at Università degli Studi di Bari Aldo Moro (Bari, Italy) in 2004. Currently, she is associate professor in Mathematical Analysis at the same university. Her fields of expertise are Korovkin-Type Approximation Theory, Functional Analysis, Operator Theory, Generation and Approximation of Positive Semigroupsand Models in Population Dynamics. 

Elisabetta Mangino Elisabetta Mangino is professor in Mathematical Analysis at the Università del Salento (Lecce, Italy).   She has been interested in various topics in Functional Analysis, namely Locally Convex Spaces, Linear Chaos, Semigroups Theory and Approximation Theory. Currently, her research focuses on linear elliptic-parabolic systems of equations with unbounded coefficients or degenerate diffusion part.

Bibliographic Information

  • Book Title: Recent Advances in Mathematical Analysis

  • Book Subtitle: Celebrating the 70th Anniversary of Francesco Altomare

  • Editors: Anna Maria Candela, Mirella Cappelletti Montano, Elisabetta Mangino

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-20021-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-20020-5Published: 19 May 2023

  • Softcover ISBN: 978-3-031-20023-6Due: 19 June 2023

  • eBook ISBN: 978-3-031-20021-2Published: 18 May 2023

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XVIII, 463

  • Number of Illustrations: 4 illustrations in colour

  • Topics: Functional Analysis, Approximations and Expansions

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