A weyl pseudodifferential calculus associated with exponential weights on ℝ d
Date
2021
Authors
Harris, Sean
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University of Illinois Press
Abstract
We construct a Weyl pseudodifferential calculus tailored to studying boundedness of operators on weighted L spaces over ℝ with weights of the form exp. Φ.x//,for Φ a C function, a setting in which the operator associated to the weighted Dirichlet form typically has only holomorphic functional calculus. A symbol class giving rise to bounded operators on L is determined, and its properties are analyzed. This theory is used to calcu-late an upper bounded on the H angle of relevant operators and deduces known optimal results in some cases. Finally, the symbol class is enriched and studied under an algebraic viewpoint.
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Illinois Journal of Mathematics
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Journal article
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2099-12-31
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