Interpolation Theorems for Self-adjoint Operators
Analysis of PDEs
2008-12-23 v1 Classical Analysis and ODEs
Abstract
We prove a complex and a real interpolation theorems on Besov spaces and Triebel-Lizorkin spaces associated with a selfadjoint operator , without assuming the gradient estimate for its spectral kernel. The result applies to the cases where is a uniformly elliptic operator or a Schr\"odinger operator with electro-magnetic potential.
Cite
@article{arxiv.0812.4129,
title = {Interpolation Theorems for Self-adjoint Operators},
author = {Shijun Zheng},
journal= {arXiv preprint arXiv:0812.4129},
year = {2008}
}
Comments
8 pages. Submitted