共查询到10条相似文献,搜索用时 62 毫秒
1.
Lá szló Losonczi Zsolt Pá les 《Proceedings of the American Mathematical Society》1998,126(3):779-789
We study Minkowski's inequality
and its reverse where is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters ) for the inequality above (and for its reverse) to hold.
2.
We prove an endpoint weak-type maximal inequality for the spherical maximal operator applied to radial funcions on symmetric spaces of constant curvature and dimension . More explicitly, in the Lorentz space associated with the natural isometry-invariant measure, we show that, for every radial function ,
The proof uses only geometric arguments and volume estimates, and applies uniformly in every dimension.
The proof uses only geometric arguments and volume estimates, and applies uniformly in every dimension.
3.
Finbarr Holland 《Proceedings of the American Mathematical Society》2007,135(9):2915-2920
As a consequence of a more general statement proved in the paper, it is deduced that, if , and , then with equality if and only if . This is a new refinement of Carleman's classic inequality.
4.
E. R. Liflyand 《Proceedings of the American Mathematical Society》1997,125(5):1443-1450
Stein's well-known logarithmic asymptotics of the Lebesgue constants of the Bochner-Riesz means of critical order is extended to Lebesgue constants of more general linear means of multiple Fourier series. These means are generated by certain class of functions supported in convex domains with boundaries of non-vanishing Gaussian curvature.
5.
Uri Elias 《Proceedings of the American Mathematical Society》1998,126(7):2071-2075
Integral means of functions and their derivatives are studied. We find a relation between integral means and the Pólya factorization of ordinary linear differential operators.
6.
Frances Y. Jackson W. A. J. Luxemburg 《Proceedings of the American Mathematical Society》2003,131(1):185-199
We characterize the first three sundual spaces of , with respect to the translation group of .
7.
Ilgiz Kayumov 《Proceedings of the American Mathematical Society》2002,130(4):1005-1007
In this paper we show that there exists a function bounded and univalent in the unit disk, such that ,
8.
Akira Masuoka 《Proceedings of the American Mathematical Society》2001,129(11):3185-3192
To answer in the negative a conjecture of Kaplansky, four recent papers independently constructed four families of Hopf algebras of fixed finite dimension, each of which consisted of infinitely many isomorphism classes. We defend nevertheless the negated conjecture by proving that the Hopf algebras in each family are cocycle deformations of each other.
9.
In this paper we discuss the properties of the Schwarzian derivative, integral means and the affine and linear invariant families of biharmonic mappings. First, we introduce the Schwarzian derivative S(F) for biharmonic mappings F = ∣z∣2G + H, and obtain several necessary and sufficient conditions for S(F) to be analytic. Second, we introduce the subordination of biharmonic mappings and obtain inequalities for integral means of subordinate biharmonic mappings. Finally, we introduce the affine and linear invariant families of biharmonic mappings and prove several estimates related to the Jacobian of functions in these invariant families. 相似文献
10.
P. Goetgheluck. 《Mathematics of Computation》1998,67(224):1727-1733
We give explicit formulas providing two new infinite families of couples of binomial coefficients whose ratio is 2.