Titlebook: Methods of Fourier Analysis and Approximation Theory; Michael Ruzhansky,Sergey Tikhonov Book 2016 Springer International Publishing Switze

Accommodation

摘要记录

-Measures on the Dyadic Group and Uniqueness Sets for Haar SeriesThe aim of article is to describe, in terms of the .-measures, uniqueness sets for Haar series with non-decreasing partial sum’s major sequences.

Negligible

Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund OperatorsWe prove several off-diagonal and pointwise estimates for singular integral operators that extend compactly on ..

FLOUR

Elementary Proofs of Embedding Theorems for Potential Spaces of Radial FunctionsWe present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni’s and Strauss’ inequalities in this setting.

PLUMP

On Leray’s FormulaWe transform Leray’s formula on the Fourier transform of a radial function in such a way that it preserves the form of a one-dimensional Fourier transform and the transformed function is close to the initial function as much as possible.

Ambulatory

Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz SpacesIn this work the sharp estimate of the order of approximation of the Besov classes . in the metric of anisotropic Lorentz spaces . is obtained.

母猪

兽群

Reconstruction Operator of Functions from the Sobolev SpaceFor function classes with dominant mixed derivative we study the reconstruction operator of functions by their values at a given number of nodes. We prove that the error by the order coincides with the corresponding orthogonal width.

匍匐

Multidimensional Extremal Logan’s and Bohman’s Problemsetry (estimations of parameters of .-dimensional lattices), approximation theory (sharp Jackson’s inequalities in the space .) and spatial statistics (minimum variance problem over the class of characteristic functions on .).

terazosin

Laplace–Borel Transformation of Functions Holomorphic in the Torus and Equivalent to Entire Function to constructing some growth theory of this class with the use of the growth theory of entire functions of several variables. This approach is illustrated by investigations of Laplace–Borel transformation of functions of ..