Title

General types of spherical mean operators and K-functionals of fractional orders

Abstract

We design a general type of spherical mean operators and employ them to approximate Lp class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.3934/cpaa.2015.14.743

Keywords

Bochner-Riesz means, Fourier multiplier, K-funcional, Laplacians of fractional order, Spherical means

Publication Date

1-1-2015

Journal Title

Communications on Pure and Applied Analysis

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