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

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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	English
Pages (from-to)	79-85
Number of pages	7
Journal	Analysis in Theory and Applications
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s10496-009-0079-y
State	Published - Mar 2009

Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

Functional calculus
Interpolation

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10.1007/s10496-009-0079-y

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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 Schr{\"o}dinger operator with electro-magnetic potential.",

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AU - Zheng, Shijun

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N2 - 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.

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 - Functional calculus

KW - Interpolation

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U2 - 10.1007/s10496-009-0079-y

DO - 10.1007/s10496-009-0079-y

M3 - Article

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SP - 79

EP - 85

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 1

ER -

Interpolation theorems for self-adjoint operators

Abstract

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