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 general bi-radial bilinear Dunkl multipliers, and to bilinear multipliers associated with the Jacobi expansions.
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| http://dx.doi.org/10.1007/s12220-017-9945-6 | DOI Listing |
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