Images of integration operators in weighted function spaces

Abstract

Images of integration operators of natural orders are considered as elements of Besov and Triebel--Lizorkin spaces with local Muckenhoupt weights on ${\mathbb{R}}^N$. The results connect entropy and approximation numbers of embedding operators with the same characteristics of the integration operators.

References in corpus (2)

• Localisation property of Battle-Lemarié wavelets' sums
• Spline wavelet decomposition in weighted function spaces

Cited by in corpus (1)

• Norm related inequalities for fractional integrals