منابع مشابه
WEIGHTED BMOcjJ SPACES AND THE HILBERT TRANSFORM
We obtain estimates for the distribution of values of functions Íll the weighted BMOq, spaces, BMO�(R), that let us find equivalent norms. It is also obtained that a suitable redefinition of the HilbeÍt transform is a bounded operator from these spaces into themselves. This is achieved for a certain cIass of weights w.
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The aim of the present paper is to characterize the classes of weights which ensure the validity of one-weighted strong, weak or extra-weak type estimates in Orlicz classes for the integral operator H0f(x) = 2 π ∫ ∞ 0 yf(y) x2 − y2 dy, x ∈ (0,∞).
متن کامل-Weighted Inequalities with Lipschitz and BMO Norms
Copyright q 2010 Yuxia Tong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We first define a new kind of A λ3 r λ 1 , λ 2 , ΩΩ two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm ...
متن کاملHilbert Transform and Applications
When x(t) is narrow-banded, |z(t)| can be regarded as a slow-varying envelope of x(t) while the phase derivative ∂t[tan −1(y/x)] is an instantaneous frequency. Thus, Hilbert transform can be interpreted as a way to represent a narrow-band signal in terms of amplitude and frequency modulation. The transform is therefore useful for diverse purposes such as latency analysis in neuro-physiological ...
متن کاملToeplitz Operators with Bmo Symbols and the Berezin Transform
We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO 1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol is either a positive L 1-function or an L ∞ function. 1. Introduction. Toeplitz operators are one of the most widely studied classes of concr...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1991
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-100-1-75-80