Mean growth of the derivative of analytic functions bounded mean oscillation and normal functions
نویسندگان
چکیده
منابع مشابه
Mean oscillation of functions
The oscillatory behavior of functions with compactly supported Fourier transform is characterized in a quantiied way using various function spaces. In particular, the results in this paper show that the oscillations of a function at large scale are comparable to the oscillations of its samples on an appropriate discrete set of points. Several open questions about spaces of sequences are answere...
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let denote the unit circle in the complex plane. given a function , one uses t usual (harmonic) poisson kernel for the unit disk to define the poisson integral of , namely . here we consider the biharmonic poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . we then consider the dilations for and . the ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1998
ISSN: 0022-2518
DOI: 10.1512/iumj.1998.47.1495