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Cao, Yonghui; Zhou, Jiang

Morrey spaces for nonhomogeneous metric measure spaces. (English) Zbl 1292.42013

Abstr. Appl. Anal. 2013, Article ID 196459, 8 p. (2013).
Summary: The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.

Cited in 29 Documents

MSC:

42B35 Function spaces arising in harmonic analysis
42B25 Maximal functions, Littlewood-Paley theory
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
47G10 Integral operators
45P05 Integral operators

Keywords:

Morrey spaces; nonhomogeneous metric measure spaces; maximal operators; fractional integral operators; Marcinkiewicz integral operators
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References:

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