A multiplier theorem for Fourier series in several variables

• Autorzy: Nakhle Asmar , Florence Newberger , Saleem Watson
• Języki publikacji: EN

Abstrakty

EN

We define a new type of multiplier operators on $L^{p}(𝕋^N)$, where $𝕋^N$ is the N-dimensional torus, and use tangent sequences from probability theory to prove that the operator norms of these multipliers are independent of the dimension N. Our construction is motivated by the conjugate function operator on $L^{p}(𝕋^N)$, to which the theorem applies as a particular example.

Kategorie tematyczne

• 42B15: Multipliers
• 60G42: Martingales with discrete parameter

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 106
• Numer: 2
• Strony: 221-230

Daty

wydano

2006

Twórcy

autor

Nakhle Asmar

• Mathematics Department, University of Missouri, Columbia, MO 65211, U.S.A.

autor

Florence Newberger

• Department of Mathematics and Statistics, California State University, Long Beach, CA 90840, U.S.A.

autor

Saleem Watson

• Department of Mathematics and Statistics, California State University, Long Beach, CA 90840, U.S.A.

Identyfikatory

DOI

10.4064/cm106-2-4