Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces

Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces

In this paper, the authors show that the maximal operators of the multilinear Calderón-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces, which essentially extend and improve the previous known results obtained by Grafakos and Kalton (2001...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2023-05, Vol.44 (3), p.391-406
Hauptverfasser: Wen, Yongming, Wu, Huoxiong, Xue, Qingying
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Integrals
Mathematics
Mathematics and Statistics
Operators
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Zusammenfassung:In this paper, the authors show that the maximal operators of the multilinear Calderón-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces, which essentially extend and improve the previous known results obtained by Grafakos and Kalton (2001) and Li, Xue and Yabuta (2011). The corresponding estimates on variable Hardy spaces are also established.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-023-0022-0