16 citations · 28 across the 25 of their papers we have counts for
29 papers
Projection Constants of Polynomial Spaces via Representation Theory
Andreas Defant, Daniel Galicer, Martín Mansilla +3
We develop a representation-theoretic framework for computing projection constants of finite-dimensional subspaces of , where is a compact homogeneous -space. Within t…
A multilinear Zafran theorem for the measure of noncompactness of operators
Mieczyslaw Mastylo, Eduardo Brandani da Silva
We establish a multilinear analogue of Zafran's interpolation theorem for operators acting on products of quasi-Banach spaces generated by the general real methods. We consider mul…
Support-Sensitive Bohnenblust-Hille Inequalities and Local Invariants on Hamming Schemes
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate local invariants and geometric phenomena for polynomial spaces of low degree on the -ary Hamming scheme , where denotes the cyclic group of order …
Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The primary aim of this work is to develop methods that provide new insights into the relationships between fundamental constants in Banach space theory--specifically, the projecti…
Maximal regularity estimates for the abstract Cauchy problems
Sebastian Król, Mieczysław Mastyło, Jarosław Sarnowski
In this work, we extend the Da Prato-Grisvard theory of maximal regularity estimates for sectorial operators in interpolation spaces. Specifically, for any generator of an ana…
Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate projection constants for spaces of bihomogeneous harmonic and bihomogeneous polynomials on the unit sphere in finite-dimensional complex Hilbert spaces. Using averag…