Fractional integrals of imaginary order supported on convex curves, and the doubling property

DOI10.1216/RMJM/1181071834zbMath0924.42016OpenAlexW2065409695MaRDI QIDQ1288326

K. Appert

Publication date: 10 November 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol28-1/CONT281/CONT281.html

zbMATH Keywords

maximal operatorHilbert transformconvex curvefractional integraldoubling property

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Hilbert transforms for convex curves
• Maximal functions for convex curves
• The Hilbert Transform for Convex Curves in R n
• Problems in harmonic analysis related to curvature

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