Hilbert transforms and maximal functions along rough flat curves.
Anthony Carbery, Sarah Ziesler (1994)
Revista Matemática Iberoamericana
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Displaying similar documents to “Dilations associated to flat curves.”
Hilbert transforms and maximal functions along rough flat curves.
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Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
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