On rough maximal operators and Marcinkiewicz integrals along submanifolds

• Autorzy: H. M. Al-Qassem , Y. Pan
• Języki publikacji: EN

Abstrakty

EN

We investigate the $L^{p}$ boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the $L(log L)^{α}(𝕊^{n-1})$ condition on the kernel functions. Our results improve and extend some known results.

Kategorie tematyczne

• 42B15: Multipliers
• 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: 2009
• Tom: 190
• Numer: 1
• Strony: 73-98

Daty

wydano

2009

Twórcy

autor

H. M. Al-Qassem

• Department of Mathematics and Physics, Qatar University, Doha, Qatar

autor

Y. Pan

• Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

Identyfikatory

DOI

10.4064/sm190-1-3