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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2002 Volume 286, Pages 62–73 (Mi znsl1567)

This article is cited in 4 papers

Criteria of the removable sets for the weighted spaces of garmonic functions

I. N. Demshin, V. A. Shlyk

Far Eastern National University

Abstract: Sharp functional, capacity, and metric characteristics of removable sets for harmonic functions without fluxions in the weighted space $L^1_{p,\omega}$ with the Muckenhoupt weight are found.

UDC: 517.5

Received: 26.04.2002


 English version:
Journal of Mathematical Sciences (New York), 2004, 122:6, 3616–3622

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