Interpolation Theorems for Self-adjoint Operators

Shijun Zheng

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arXiv · 0812.4129

Interpolation Theorems for Self-adjoint Operators

Shijun Zheng

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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.

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Shijun Zheng. 2008-12-22. Interpolation Theorems for Self-adjoint Operators. https://arxiv.org/abs/0812.4129

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