Boundedness for a bilinear model sum operator on ℝⁿ

• Autorzy: Erin Terwilleger
• Języki publikacji: EN

Abstrakty

EN

The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 46B70: Interpolation between normed linear spaces
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 2
• Strony: 185-197

Daty

wydano

2007

Twórcy

autor

Erin Terwilleger

• Department of Mathematics, U-3009, University of Connecticut, Storrs, CT 06269, U.S.A.

Identyfikatory

DOI

10.4064/sm179-2-5