The Fatou Property for General Approximate Identities on Metric Measure Spaces

approximate identities on metric measure spaces are considered in this paper. We find exact conditions on the geometry of domains for which the convergence of approximate identities occurs almost everywhere for functions from the spaces , . The results are illustrated with examples of Poisson kernel...

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Veröffentlicht in:	Mathematical Notes 2021-07, Vol.110 (1-2), p.196-209
Hauptverfasser:	Karagulyan, G. A., Katkovskaya, I. N., Krotov, V. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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