A family of polynomials {Pn(z)}n≥1, whose coefficients satisfy a system of linear equations, is introduced first. An inequality about the real part of Pn(z) is presented next, for complex numbers z whose real part is between 0 and 1. Finally, using Stein Complex Interpolation Theorem, we prove some inequalities about the norms of Poisson Wick products.
A family of polynomials and their application to inequalities of norms of Poisson wick products
LANCONELLI, ALBERTO;
2013-01-01
Abstract
A family of polynomials {Pn(z)}n≥1, whose coefficients satisfy a system of linear equations, is introduced first. An inequality about the real part of Pn(z) is presented next, for complex numbers z whose real part is between 0 and 1. Finally, using Stein Complex Interpolation Theorem, we prove some inequalities about the norms of Poisson Wick products.File in questo prodotto:
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