科研之友
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摘要
The operators S(p)f(x, y), for the sum of which we prove an L(2)-estimate, act as a kind of Fourier coefficients on one variable and a kind of truncated Hilbert transforms with a phase N(x, y) on the other variable. This result is an extension to two-dimensions of an argument of almost orthogonality in Fefferman's proof of a. e. convergence of Fourier series, under the basic assumption N(x, y) "mainly" a function of y and the additional assumption N(x, y) non-decreasing in x, for every y fixed.
- 出版日期2010-6
