Interpolation Theorems for Self-adjoint Operators

Details Interpolation Theorems for Self-adjoint Operators Interpolation Theorems for Self-adjoint Operators

2008-12-22

arxiv.org/abs/0812.4129v1

Mathematics

Analysis of PDEs

8 pages. Submitted

Scientific paper

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\"odinger
operator with electro-magnetic potential.

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