ON THE HILBERT TRANSFORM II
نویسندگان
چکیده
منابع مشابه
On the Bilinear Hilbert Transform
In joint work with C. Thiele, the author has shown that A. Calderón’s bilinear Hilbert transform extends to a bounded operator on certain products of L spaces. This article illustrates the method of proof by giving a complete proof of an inequality which is slightly weaker than the original conjecture of Calderón concerning this transform. 1991 Mathematics Subject Classification: 42A50
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If /(OG^P) £>!> then f(x)^Lpy and a considerable literature is devoted to studying the relationship of such pairs of "conjugate" functions to the theory of functions analytic in a half-plane. More to the point of the present note is a series of papers studying the Hubert transform along strictly real variable lines ([2, 3 ] ; further bibliography in [2]). Much less is known about f(x) when f(t)...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1960
ISSN: 0385-4035
DOI: 10.14492/hokmj/1530756151