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Riesz Means on Compact Riemannian Symmetric Spaces
Author(s) -
Li Luoqing
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941680114
Subject(s) - mathematics , riesz potential , rank (graph theory) , pure mathematics , m. riesz extension theorem , riesz representation theorem , riesz transform , type (biology) , mathematical analysis , combinatorics , ecology , biology
We study approximation properties of the Riesz means on compact symmetric spaces of rank one. To do so we establish equivalences between the Riesz means and Peetre K‐moduli and estimate the weak type and the uniform approximation of the Riesz means at the critical index. The relations between the Riesz means and the best approximation as well as the Cesàro means are also considered.