Isoperimetric inequality for nearly spherical domains in the Bergman ball double struck upper B 2$\mathbb{B}

Cambridge University Press (CUP)

Isoperimetric inequality for nearly spherical domains in the Bergman ball double struck upper B 2$\mathbb{B}_2$ 𝔹 2

David Kalaj

2026

We prove a quantitative isoperimetric inequality for nearly spherical domains in the Bergman ball in double struck upper C 2 $\mathbb{C}^2$ ℂ 2 . We prove a Fuglede-type theorem for such sets. This result is a counterpart of a similar result obtained for the hyperbolic unit ball, and it provides the first result on the isoperimetric phenomenon in the Bergman ball.

Cambridge University Press (CUP)

Isoperimetric inequality for nearly spherical domains in the Bergman ball double struck upper B 2$\mathbb{B}_2$ 𝔹 2

We prove a quantitative isoperimetric inequality for nearly spherical domains in the Bergman ball in double struck upper C 2 $\mathbb{C}^2$ ℂ 2...

Preuzmite dokument 2026 David Kalaj

Informa UK Limited

On a Hardy inequality for holomorphic functions

Preuzmite dokument 2025 David Kalaj

Wiley

The radial symmetry of minimizers to the p$p$ weighted Dirichlet energy in R3$\mathbb {R}^3$

AbstractLet and be annuli in . Let , and assume that is the class of Sobolev homeomorphisms of onto . Then, we consider the following Dirichlet‐type energy of : We prove that this energy integral attains its minimum for and , and the minimum is a certain radial diffeomorphism .For general , we minimize the Dirichlet‐type integral throughout the class of radial mappings between given annuli, and this minimum always exists for . For , the image annulus cannot be too thick, which is opposite...

Preuzmite dokument 2024 David Kalaj

European Mathematical Society - EMS - Publishing House GmbH

Erratum to “Harmonic quasiconformal mappings between $\mathcal{C}^1$ smooth Jordan domains”

Preuzmite dokument 2022 David Kalaj

Informa UK Limited

Quasiconformal harmonic graphs

Preuzmite dokument 2022 Djordjije Vujadinović , David Kalaj