Multilinear almost diagonal estimates and applications

• Autorzy: Árpád Bényi , Nikolaos Tzirakis
• Języki publikacji: EN

Abstrakty

EN

We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.

Kategorie tematyczne

• 42B15: Multipliers
• 47A07: Forms (bilinear, sesquilinear, multilinear)
• 42C40: Wavelets and other special systems
• 42B35: Function spaces arising in harmonic analysis
• 47G10: Integral operators
• 47G30: Pseudodifferential operators
• 42B25: Maximal functions, Littlewood-Paley theory
• 42C15: General harmonic expansions, frames
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 1
• Strony: 75-89

Daty

wydano

2004

Twórcy

autor

Árpád Bényi

• Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts, Amherst, MA 01003, U.S.A.

autor

Nikolaos Tzirakis

• Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts, Amherst, MA 01003, U.S.A.

Identyfikatory

DOI

10.4064/sm164-1-5