The method of rotation and Marcinkiewicz integrals on product domains

• Autorzy: Jiecheng Chen , Dashan Fan , Yiming Ying
• Języki publikacji: EN

Abstrakty

EN

We give some rather weak sufficient condition for $L^{p}$ boundedness of the Marcinkiewicz integral operator $μ_{Ω}$ on the product spaces $ℝⁿ × ℝ^{m}$ (1 < p < ∞), which improves and extends some known results.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 153
• Numer: 1
• Strony: 41-58

Daty

wydano

2002

Twórcy

autor

Jiecheng Chen

• Department of Mathematics, Zhejiang University (Xixi Campus), 310028 Hangzhou, P.R. China

autor

Dashan Fan

• Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, U.S.A.

autor

Yiming Ying

• Department of Mathematics, Zhejiang University (Xixi Campus), 310028 Hangzhou, P. R. China

Identyfikatory

DOI

10.4064/sm153-1-4