منابع مشابه
Multidimensional Lévy White Noise in Weighted Besov Spaces
In this paper, we study the Besov regularity of a general d-dimensional Lévy white noise. More precisely, we describe new sample paths properties of a given noise in terms of weighted Besov spaces. In particular, we characterize the smoothness and integrability properties of the noise using the indices introduced by Blumenthal, Getoor, and Pruitt. Our techniques rely on wavelet methods and gene...
متن کاملJacobi Decomposition of Weighted Triebel-lizorkin and Besov Spaces
The Littlewood–Paley theory is extended to weighted spaces of distributions on [−1, 1] with Jacobi weights w(t) = (1−t)(1+t) . Almost exponentially localized polynomial elements (needlets) {φξ}, {ψξ} are constructed and, in complete analogy with the classical case on R, it is shown that weighted Triebel–Lizorkin and Besov spaces can be characterized by the size of the needlet coefficients {〈f, ...
متن کاملMultipliers on Weighted Besov Spaces of Analytic Functions
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 کاملEntropy Numbers of Embeddings of Weighted Besov Spaces
We investigate the asymptotic behavior of the entropy numbers of the compact embedding B1 p1,q1(R d , α) ↪→ B2 p2,q2(R ). Here Bs p,q (R d , α) denotes a weighted Besov space, where the weight is given by wα(x) = (1 + |x |2)α/2, and B2 p2,q2 (Rd ) denotes the unweighted Besov space, respectively. We shall concentrate on the so-called limiting situation given by the following constellation of pa...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03096-9