منابع مشابه
Wavelet 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...
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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 کاملKernel Theorem for the Space of Beurling - Komatsu Tempered Ultradistibutions
We give a simple proof of the Kernel theorem for the space of tempered ultradistributions of Beurling Komatsu type, using the characterization of Fourier-Hermite coefficients of the elements of the space. We prove in details that the test space of tempered ultradistributions of Beurling Komatsu type can be identified with the space of sequences of ultrapolynomal falloff and its dual space with ...
متن کاملStratified Whitney jets and tempered ultradistributions on the subanalytic site
In this paper we introduce the sheaf of stratified Whitney jets of Gevrey order on the subanalytic site relative to a real analytic manifold X. Then we define stratified ultradistributions of Beurling and Roumieu type on X. In the end, by means of stratified ultradistributions, we define tempered-stratified ultradistributions and we prove two results. First, if X is a real surface, the tempered...
متن کاملThe Kernel Theorem in Ultradistributions: Microlocal Regularity of the Kernel
In this paper we study kernels associated with continuous operators between spaces of Gevrey ultradistributions. The existence of such kernels has been established, in analogy with the kernel theorem of L. Schwartz for classical distributions, by H. Komatsu, and our aim here is to study these kernels from a microlocal point of view. The main results, which are the theorems 2, 3 below, show that...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00006-4