Interpolation Theorems for Self-Adjoint Operators

Shijun Zheng

doi:10.1007/s10496-009-0079-y

Interpolation Theorems for Self-Adjoint Operators

Shijun Zheng

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove a complex and a real interpolation theorems on Besov spaces and Triebel-Lizorkin spaces associated with a selfadjoint operator L , without assuming the gradient estimate for its spectral kernel. The result applies to the cases where L is a uniformly elliptic operator or a Schrödinger operator with electro-magnetic potential.

Original language	American English
Journal	Analysis in Theory and Applications
Volume	25
DOIs	https://doi.org/10.1007/s10496-009-0079-y
State	Published - Mar 1 2009

Keywords

Besov spaces
Triebel-Lizorkin spaces

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Mathematics

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AB - We prove a complex and a real interpolation theorems on Besov spaces and Triebel-Lizorkin spaces associated with a selfadjoint operator L , without assuming the gradient estimate for its spectral kernel. The result applies to the cases where L is a uniformly elliptic operator or a Schrödinger operator with electro-magnetic potential.

KW - Besov spaces

KW - Triebel-Lizorkin spaces

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/260

U2 - 10.1007/s10496-009-0079-y

DO - 10.1007/s10496-009-0079-y

M3 - Article

SN - 1672-4070

VL - 25

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

ER -

Interpolation Theorems for Self-Adjoint Operators

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Keywords

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