Analytic Besov spaces
نویسندگان
چکیده
منابع مشابه
Interpolating Sequences on Analytic Besov Type Spaces
We characterize the interpolating sequences for the weighted analytic Besov spaces Bp(s), defined by the norm ‖f‖ Bp(s) = |f(0)|p + Z D |(1− |z|2)f ′(z)|p(1− |z|2)s dA(z) (1− |z|2)2 , 1 < p < ∞ and 0 < s < 1, and for the corresponding multiplier spaces M(Bp(s)).
متن کاملCarleson Measures for Analytic Besov Spaces: the Upper Triangle Case
For a large family of weights ρ in the unit disc and for fixed 1 < q < p < ∞, we give a characterization of those measures μ such that, for all functions f holomorphic in the unit disc, ‖f‖Lq(μ) ≤ C(μ) (∫ D |(1− |z|)f ′(z)|pρ(z) m(dz) (1− |z|)2 + |f(0)| ) 1 p .
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We characterize the space of multipliers between certain weighted Besov spaces of analytic functions. This extend and give a new proof of a result of Wojtaszczyk about multipliers between Bergman spaces. Introduction. P. Wojtaszczyk [W], using certain factorization theorems due to Maurey and Grothendieck, proved the following results: Let α > 0, 0 < p ≤ 2 ≤ q < ∞ and 1r = 1 p − 1q . (0.1) (Bq, ...
متن کاملInterpolation of Besov Spaces
We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Cl), 0 < p < oo. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.
متن کاملGreedy Bases for Besov Spaces
We prove that the Banach spaces (⊕n=1`p )`q , which are isomorphic to the Besov spaces on [0, 1], have greedy bases, whenever 1 ≤ p ≤ ∞ and 1 < q < ∞. Furthermore, the Banach spaces (⊕n=1`p )`1 , with 1 < p ≤ ∞, and (⊕n=1`p )c0 , with 1 ≤ p < ∞ do not have a greedy bases. We prove as well that the space (⊕n=1`p )`q has a 1-greedy basis if and only if 1 ≤ p = q ≤ ∞.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1991
ISSN: 0022-247X
DOI: 10.1016/0022-247x(91)90091-d