4 papers
Sharp stability of convex functionals on weighted Bergman spaces with applications
Petar MelentijeviÄ
Recently, Kulikov (\cite{Ku}) has shown that certain convex functionals on weighted Bergman spaces are maximized by reproducing kernels. We show a sharp quantitative stability of t…
Weighted contractivity for derivatives of functions in the Bergman space on the unit disk
David Kalaj, Petar MelentijeviÄ
In a recent paper, Ramos and Tilli proved certain sharp inequality for analytic functions in subdomains of the unit disk. We will generalize their main inequality for derivatives o…
Best constants in reverse Riesz-type inequalities for analytic and co-analytic projections
Petar MelentijeviÄ
Let be the Riesz's projection operator and let . We consider the inequalities of the following form $$ \|f\|_{L^p(\mathbb{T})}\leq B_{p,s}\|( |P_ + f | ^s + |P_…
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…