Some remarks on Prandtl system

Hua Shui Zhan; Jun Ning Zhao

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A weighted vector-valued weak type (1,1) inequality and spherical summation

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We prove a weighted vector-valued weak type (1,1) inequality for the Bochner-Riesz means of the critical order. In fact, we prove a slightly more general result.

Differences of the partition function

A. Odlyzko (1988)

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Averaging theorems for linear operators in compact groups and semigroups

G. Murphy, T. West (1997)

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The Weyl criterion for uniform distribution of a sequence has an especially simple form in compact abelian groups. The authors use this and the structure of compact monothetic groups and semigroups to generalise the convergence, under certain compactness conditions, of the operator averages: $n^{- 1} \sum_{k = 1}^{n} T^{k} \to P (n \to \infty)$ where P is a projection associated with the eigenvalue one of T.

An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form

J. Coates (1970)

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On Gateaux differentiable bump functions

Francisco Hernández, Stanimir Troyanski (1996)

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It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces with unconditional basis is not better than that of Fréchet differentiability. It is proved as well that in the separable case this order for Banach lattices satisfying a lower p-estimate for 1≤ p < 2 can be only slightly better.

On a product of sines

G. Freiman, H. Halberstam (1988)

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On Solving A System Of Balanced Functional Equations On Quasigroups

A. Krapež (1978)

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Generalized Taylor expansions of singular functions

Grzegorz Łysik (1991)

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The growth rate of the Dedekind Zeta-function on the critical line

D. Heath-Brown (1988)

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On the representation of uncountable symmetric basic sets and its applications

Francisco Hernandez, Stanimir Troyanski (1993)

Studia Mathematica

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It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.