منابع مشابه
Multivariable Bohr Inequalities
Operator-valued multivariable Bohr type inequalities are obtained for: (i) a class of noncommutative holomorphic functions on the open unit ball of B(H)n, generalizing the analytic functions on the open unit disc; (ii) the noncommutative disc algebra An and the noncommutative analytic Toeplitz algebra F∞ n ; (iii) a class of noncommutative selfadjoint harmonic functions on the open unit ball of...
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A non-negative pluriharmonic polynomial <p(z) on the unit ball of C is used as a weight against the rotationally invariant measure on the unit sphere. The resulting Hardy space carries the canonical n-tuple S of multiplication by the coordinate functions. By means of compressions of S to co-analytically invariant subspaces, and known estimates of the numerical radius of a nilpotent matrix we ob...
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Two versions of Rubio de Francia’s extrapolation theorem for multivariable operators of functions are obtained. One version assumes an initial estimate with different weights in each space and implies boundedness on all products of Lebesgue spaces. Another version assumes an initial estimate with the same weight but yields boundedness on a product of Lebesgue spaces whose indices lie on a line....
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tribution of the 5 classes of build in the progeny of various matings show a difference in distribution, in means and in variability as measured by the standard deviation or the coefficient of variability, figures 4 and 5. This greater variability in the progeny of fleshy as compared with slender parents is still shown even whenever allowance is made .for the slightly greater range of classes o...
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We show that the Bohr radius of the polydisk D behaves asymptotically as √ (logn)/n. Our argument is based on a new interpolative approach to the Bohnenblust–Hille inequalities which allows us to prove, among other results, that the polynomial Bohnenblust–Hille inequality is subexponential.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-04170-0