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Mathematics

D-Index
31
Citations
2536
World Ranking
3407
National Ranking
208

Overview

Andreas Defant is affiliated with the Carl von Ossietzky University of Oldenburg in Germany. Their research is primarily situated within the field of Mathematics, with a concentration on several specialized subfields including Applied Mathematics, Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, and Statistics and Probability.

Their work broadly addresses topics such as Holomorphic and Operator Theory, Advanced Banach Space Theory, Advanced Harmonic Analysis Research, Meromorphic and Entire Functions, Functional Equations Stability Results, Mathematical Analysis and Transform Methods, and Mathematical functions and polynomials.

The recent publications of Andreas Defant reveal a focus on various aspects of analysis, operator theory, and harmonic analysis, with papers published in several notable journals. Recent works include:

  • "Vector-valued general Dirichlet series," published in 2020 in Studia Mathematica
  • "Holomorphic functions of finite order generated by Dirichlet series," published in 2022 in Banach Journal of Mathematical Analysis
  • "Aspects of the Kahane-Salem-Zygmund inequalities in Banach spaces," published in 2022 in Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
  • "Riesz means in Hardy spaces on Dirichlet groups," published in 2020 in Mathematische Annalen
  • "Subgaussian Kahane-Salem-Zygmund inequalities in Banach spaces," published in 2020 on arXiv (Cornell University)

Defant's frequent collaborators highlight a network of researchers with whom they have produced multiple works. These coauthors include Mieczysław Mastyło, Ingo Schoolmann, Daniel Galicer, Santiago Muro, and Martín Mansilla.

Their contributions are regularly published in venues such as arXiv (Cornell University), Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, Mathematische Annalen, Banach Journal of Mathematical Analysis, and Studia Mathematica.

Best Publications

  • Tensor Norms and Operator Ideals

    Andreas Defant;Klaus Floret

  • The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive

    Andreas Defant;Leonhard Frerick;Joaquim Ortega-Cerdà;Myriam Ounaïes

  • Coordinatewise multiple summing operators in Banach spaces

    Andreas Defant;Dumitru Popa;Ursula Schwarting

  • Variants of the Maurey–Rosenthal Theorem for Quasi Köthe Function Spaces

    Andreas Defant

  • Bohrs power series theorem and local Banach space theory

    Andreas Defant;Domingo García;Manuel Maestre

  • Dirichlet Series and Holomorphic Functions in High Dimensions

    Andreas Defant;Domingo García;Manuel Maestre;Pablo Sevilla-Peris

  • Bohr's strip for vector valued Dirichlet series

    Andreas Defant;Domingo García;Manuel Maestre;David Pérez-García

  • A new multilinear insight on Littlewood's 4/3-inequality

    Andreas Defant;Pablo Sevilla-Peris;Pablo Sevilla-Peris

  • A logarithmic lower bound for multi-dimensional bohr radii

    Andreas Defant;Leonhard Frerick

  • Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials

    Andreas Defant;Juan Carlos Dı́az;Domingo Garcı́a;Manuel Maestre

  • Bohr radii of vector valued holomorphic functions

    Andreas Defant;Manuel Maestre;Ursula Schwarting

  • The Bohnenblust Hille cycle of ideas from a modern point of view

    Andreas Defant;Pablo Sevilla-Peris

  • The Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

    Andreas Defant;Leonhard Frerick;Joaquim Ortega-Cerdà;Myriam Ounaïes

  • Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables

    Andreas Defant;Manuel Maestre;Christopher Prengel

  • Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

    Frédéric Bayart;Andreas Defant;Leonhard Frerick;Manuel Maestre

  • Estimates for the first and second Bohr radii of Reinhardt domains

    Andreas Defant;Domingo Garcia;Manuel Maestre

  • THE ARITHMETIC BOHR RADIUS

    Andreas Defant;Manuel Maestre;Christopher Prengel

  • Unconditionality in spaces of m-homogeneous polynomials

    Andreas Defant;Nigel Kalton

  • Bohr's phenomenon for functions on the Boolean cube

    Andreas Defant;Mieczysław Mastyło;Antonio Pérez

  • Hardy spaces of vector-valued Dirichlet series

    Andreas Defant;Antonio Pérez

  • Some polynomial versions of cotype and applications

    Daniel Carando;Daniel Carando;Andreas Defant;Pablo Sevilla-Peris

  • Convergence of Dirichlet polynomials in Banach spaces

    Andreas Defant;Pablo Sevilla-Peris

  • Almost sure-sign convergence of Hardy-type Dirichlet series

    Daniel Carando;Daniel Carando;Andreas Defant;Pablo Sevilla-Peris

  • Volume estimates in spaces of homogeneous polynomials

    Andreas Defant;Christopher Prengel

  • Cotype 2 estimates for spaces of polynomials on sequence spaces

    Andreas Defant;Manuel Maestre;Pablo Sevilla-Peris

  • The Bohr radius of the unit ball of

    Andreas Defant;Leonhard Frerick

Frequent Co-Authors

David Pérez-García
David Pérez-García Complutense University of Madrid
Marius Junge
Marius Junge University of Illinois at Urbana-Champaign
Kristian Seip
Kristian Seip Norwegian University of Science and Technology
Alfredo Peris
Alfredo Peris Universitat Politècnica de València
Nigel J. Kalton
Nigel J. Kalton University of Missouri

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