2 papers
math.CV2026
Contraction properties for holomorphic functions via isoperimetric stability on the Bergman ball
David Kalaj, Jian-Feng Zhu
We prove a local contraction property for holomorphic functions that are nearly constant, relating weighted Bergman spaces $A^p_α(\B_n)$ and $A^q_β(\B_n)$. Our approach converts…
math.FA2024
Uniform stability of concentration inequalities and applications
Jaime Gómez, David Kalaj, Petar MelentijeviÄ +1
We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous Wavelet transforms associated to a certain family of Cauchy wavelet windows . Our result…