Asymptotic Variance of the Beurling Transform
نویسندگان
چکیده
منابع مشابه
Asymptotic algorithm for computing the sample variance of interval data
The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...
متن کاملLp–BOUNDS FOR THE BEURLING–AHLFORS TRANSFORM
Let B denote the Beurling-Ahlfors transform defined on L(C), 1 < p < ∞. The celebrated conjecture of T. Iwaniec states that its L norm ‖B‖p = p∗ − 1 where p∗ = max{p, p p−1}. In this paper the new upper estimate ‖B‖p ≤ 1.575 (p − 1), 1 < p < ∞ is found.
متن کاملWavelet transform of Beurling-Björck type ultradistributions
Wavelet analysis has been used for intrinsic characterizations of important function and distribution spaces ([10], [11]). Recently, the wavelet transform has been extended to distributions, and inversion formulae have been established in distribution setting by Pathak [13, 14], Pathak et al [16, 17, 18] and Pandey [12] using duality arguments. Wavelets of subexponential decay whose Fourier tra...
متن کاملOn the Weak-type Constant of the Beurling-ahlfors Transform
(1.2) ‖B‖p = p∗ − 1, where 1 < p <∞ and p∗ = max{p, p p−1}, is partly motivated by its relation to the Gehring-Reich conjecture proved by Astala in [1]. (The lower bound of (p∗ − 1) was obtained by Lehto [16] in 1965.) Recent work has revealed B as an exemplary junction between Fourier analysis and probability, and martingale methods established by Burkholder have led to the present best known ...
متن کاملThe Martingale Structure of the Beurling-ahlfors Transform
The Beurling-Ahlfors operator reveals a rich structure through its representation as a martingale transform. Using elementary linear algebra and martingale inequalities, we obtain new information on this operator. In particular, Essén-type inequalities are proved for the complex Beurling-Ahlfors operator and its generalization to higher dimensions. Moreover, a new estimate of their norms is obt...
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: Geometric and Functional Analysis
سال: 2015
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-015-0347-2