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Title: Criteria for compactness in L{sup p}-spaces, p {>=} 0

Journal Article · · Sbornik. Mathematics
 [1]
  1. Belarusian State University, Minsk (Belarus)

The paper puts forward new compactness criteria for spaces of summable and measurable functions on a metric space with measure satisfying the doubling condition. These criteria are formulated in terms of either local smoothness inequalities or maximal operators that measure local smoothness. Bibliography: 28 titles.

OSTI ID:
22094075
Journal Information:
Sbornik. Mathematics, Vol. 203, Issue 7; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English