Weighted norm inequalities for analytic functions
نویسندگان
چکیده
منابع مشابه
Weighted Norm Inequalities for Fourier Transforms of Radial Functions
Weighted L(R)→ L(R) Fourier inequalities are studied. We prove Pitt–Boas type results on integrability with general weights of the Fourier transform of a radial function.
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Introduction In the rst part of the paper we study integral operators of the form (1) Kf(x) = v(x) x Z 0 k(x; y)u(y)f(y) dy; x > 0; where the real weight functions v(t) and u(t) are locally integrable and the kernel k(x; y) 0 satisses the following condition: there exists a constant D 1 such that Standard examples of a kernel k(x; y) 0 satisfying (2) are (i) k(x; y) = (x ? y) , 0 (ii) k(x; y) =...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.05.013