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Liu, Hong Hai

The boundedness of maximal operators and singular integrals via Fourier transform estimates. (English) Zbl 1256.42022

Acta Math. Sin., Engl. Ser. 28, No. 11, 2227-2242 (2012).
Summary: The author studies the mapping properties for some general maximal operators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications.

Cited in 2 Documents

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory

Keywords:

maximal operators; singular integrals; Triebel-Lizorkin spaces; vector-valued inequality
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\textit{H. H. Liu}, Acta Math. Sin., Engl. Ser. 28, No. 11, 2227--2242 (2012; Zbl 1256.42022)
Full Text: DOI

References:

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