Multilinear Calderón-Zygmund operators on weighted Hardy spaces

• Autorzy: Wenjuan Li , Qingying Xue , Kôzô Yabuta
• Języki publikacji: EN

Abstrakty

EN

Grafakos-Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón-Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{p⃗}$ weights and built a theory of weights adapted to multilinear Calderón-Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón-Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.

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: 2010
• Tom: 199
• Numer: 1
• Strony: 1-16

Daty

wydano

2010

Twórcy

autor

Wenjuan Li

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China

autor

Qingying Xue

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China
• Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, P.R. China
• Department of Mathematics, University of California, Berkeley, CA 94720-3840, U.S.A.

autor

Kôzô Yabuta

• Research Center for Mathematical Sciences, Kwansei Gakuin University, Gakuen 2-1, Sanda 669-1337, Japan

Identyfikatory

DOI

10.4064/sm199-1-1