TRIEBEL-LIZORKIN-MORREY SPACES ASSOCIATED WITH NONNEGATIVE SELF-ADJOINT OPERATOR
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Abstract
Let L be a nonnegative self-adjoint operator on with a heat kernel satisfying a Gaussian upper bound. In this work, we introduce Triebel-Lizorkin-Morrey spaces associated with the operator L for the entire range . We then prove that our new spaces satisfy important features such as continuous characterizations in terms of square functions, or atomic decomposition.
Keywords
atomic decompositions, continuous characterization, Gaussian upper bound, Triebel-Lizorkin-Morrey space
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References
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