Fourier Spectrum Characterization of Hardy Spaces and Applications
نویسندگان
چکیده
We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces H(C±), 1 ≤ p ≤ ∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp(R) cases.
منابع مشابه
Fourier spectrum characterization of Hardy Space
Fourier spectrum of the boundary values of functions in the complex Hardy Space H(C+) is characterized for p ∈ (0, 2). First, functions f in the L(R) can be decomposed into a sum g + h, where g and h are the non-tangential boundary limits of function in H(C+) and H(C−) in the sense of L(R), where H(C+) and H(C−) are the Hardy spaces in the upper and lower complex plane C+ and C−, respectively. ...
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