Capacities of generalized condensers with $A_1$-Muckenhoupt weight

Authors

  • Yuri Dymchenko Maritime State University, Institute of Applied Mathematics, Far Eastern Federal University
  • Vladimir Shlyk Vladivostok Branch of Russian Customs Academy, Far Eastern Federal University

Keywords:

capacity of condenser, Muckenhoupt weight, modulus of vector measures.

Abstract

We prove the relations (related to $A_1$-Muckenhoupt weight) between two capacities of a generalized condenser and the moduli of vector measures on the curve configuration.

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Published

2022-03-11

Issue

Vol. 19 No. 1 (2022): Volume 19, N 1

Section

Real, complex and functional analysis