Using a general decomposition result for distributions and a classical theorem of Plancherel-Pólya, we obtain two decompositions of elements of the Besov spaces B ˙ p αq ( n ) and B p αq ( n ), -∞<α<+∞, 0
Olafsson, "Coorbit description and atomic decomposition of Besov spaces," to appear in Numerical Functional Analysis and Optimization.J. G. Christensen, A. Mayeli, and G. O´ lafsson. Coorbit Description and Atomic Decompo- sition of Besov Spaces. Numerical Functional Analysis and Optimization...
Morrey spacesBesov spacesTriebel-Lizorkin spacesatomic decompositionlocal meanswaveletswavelet baseswavelet isomorphismsunconditional bases... Rosenthal,Marcel - 《Mathematische Nachrichten》 被引量: 47发表: 2013年 Decomposition of Hardy–Morrey spaces In this paper, we establish the decompositions of Hardy–...
Prologue. Profile decomposition is a method of asymptotic analysis especially of sequences in function spaces such as Lebesgue spaces, Sobolev spaces, Besov spaces, Triebel-Lizorkin spaces and so on, where bounded sequences may have defect of compactness, i.e., bounded sequences do not necessarily...
On the other hand, the good news is that the systematic use of harmonic analysis tools (Littlewood-Paley and wavelets decomposition and their natural companions, Besov spaces and Bony's paraproducts techniques) paved the way for important discoveries for Navier-Stokes: the existence of a global ...
Interpolation of Besov Spaces We investigate Besov spaces and their connection with dyadic spline approximation in , . Our main results are: the determination of the interpolation space... DVA Popov - 《Transactions of the American Mathematical Society》 被引量: 590发表: 1988年 Cesàro Summability ...
Employing image filters in image processing applications, essentially matrix convolution operators, has been an active field of research since a long time, and it is so very much still today. In the first part, we give a brief overview of imaging methods
On spaces of functions of smoothness zero The paper is concerned with the new spaces B-bar{sub p,q}{sup 0} of functions of smoothness zero defined on the n-dimensional Euclidean space R{sup n} or o... OV Besov - 《Sbornik Mathematics》 被引量: 13发表: 2012年 加载更多来源...
Key words: Littlewood-Paley decomposition, logarithmic Sobolev inequalities, parabolic BMO spaces, parabolic Lizorkin-Triebel spaces, parabolic Besov spaces. 1 Introduction and main results In =-=[9]-=-, a generalization of the Ogawa type inequality [16] to the parabolic framework has been shown....
In this context, negative Sobolev spaces have drawn a lot of attention: see =-=[19, 53, 50]-=-. Two other spaces initially proposed 1 ha l-0 09 68 88 5,sv er sio ns1s- 1sA prs2 01 4 by Meyer are E (the dual of the Besov space Ḃ11,1) investigated in [19, 41], ...