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Superharmonic Tangential Approximation on Long Islands
Author(s) -
Gowrisankaran Kohur,
Nersessian Ashot H.
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609399006451
Subject(s) - subharmonic function , mathematics , harmonic , mathematical analysis , harmonic function , pure mathematics , quantum mechanics , physics
We prove uniform and tangential approximation theorems for superharmonic functions in abstract harmonic spaces. Our tangential approximation theorem differs from traditional ones by the absence of the so‐called long islands condition. The result is new also in the case of the classical potential theory. 1991 Mathematics Subject Classification 31D05.