Approaching Bilinear Multipliers via a Functional Calculus.
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ABSTRACT:
SUBMITTER: Wrobel B
PROVIDER: S-EPMC6294343 | biostudies-other | 2018
REPOSITORIES: biostudies-other
Publications
Approaching Bilinear Multipliers via a Functional Calculus.
Journal of geometric analysis 20180130 4
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework, we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multipliers associated with the discrete Laplacian on Z d , general bi-radial bilinear Dunkl multipliers, and to bilinear multipliers associated with the Jacobi expansions. ...[more]
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