共查询到20条相似文献,搜索用时 15 毫秒
1.
Wael Abu-Shammala Alberto Torchinsky 《Proceedings of the American Mathematical Society》2008,136(5):1743-1748
In this paper we consider the spaces that lie between and . We discuss their interpolation properties and the behavior of maximal functions and singular integrals acting on them.
2.
Christopher B. Croke 《Proceedings of the American Mathematical Society》2008,136(2):715-717
We consider Riemannian metrics on the -sphere for such that the distance between any pair of antipodal points is bounded below by 1. We show that the volume can be arbitrarily small. This is in contrast to the -dimensional case where Berger has shown that .
3.
Gerrit van Dijk Michael Pevzner 《Proceedings of the American Mathematical Society》2008,136(6):2253-2260
In the present note we describe a family of -algebra structures on the set of square integrable functions on a rank-one para-Hermitian symmetric space .
4.
Christopher J. Bishop Hrant Hakobyan 《Proceedings of the American Mathematical Society》2008,136(7):2453-2461
The central set of a domain is the set of centers of maximal discs in . Fremlin proved that the central set of a planar domain has zero area and asked whether it can have Hausdorff dimension strictly larger than . We construct a planar domain with central set of Hausdorff dimension .
5.
Pedro L. Q. Pergher 《Proceedings of the American Mathematical Society》2008,136(5):1855-1860
We describe the equivariant cobordism classification of smooth actions of the group , considered as the group generated by two commuting involutions, on closed smooth -dimensional manifolds , for which the fixed point set of the action is a connected manifold of dimension and or . For , the classification is known.
6.
Marcos P. A. Cavalcante 《Proceedings of the American Mathematical Society》2008,136(1):287-294
In this paper we give sufficient conditions for a bounded domain in an -minimal hypersurface of the Euclidean space to be -stable. The Gauss-Kronecker curvature of this hypersurface may be zero on a set of capacity zero.
7.
Baris Coskunuzer 《Proceedings of the American Mathematical Society》2008,136(4):1427-1432
Let be a Gromov hyperbolic -space with cocompact metric, and the sphere at infinity of . We show that for any simple closed curve in , there exists a properly embedded least area plane in spanning . This gives a positive answer to Gabai's conjecture from 1997. Soma has already proven this conjecture in 2004. Our technique here is simpler and more general, and it can be applied to many similar settings.
8.
Masayuki Asaoka 《Proceedings of the American Mathematical Society》2008,136(2):677-686
For any manifold of dimension at least three, we give a simple construction of a hyperbolic invariant set that exhibits -persistent homoclinic tangency. It provides an open subset of the space of -diffeomorphisms in which generic diffeomorphisms have arbitrary given growth of the number of attracting periodic orbits and admit no symbolic extensions.
9.
Stephen D. Theriault 《Proceedings of the American Mathematical Society》2008,136(4):1489-1499
Gray showed that the homotopy fiber of the double suspension has an integral classifying space , which fits in a homotopy fibration . In addition, after localizing at an odd prime , is an -space and if , then is homotopy associative and homotopy commutative, and is an -map. We positively resolve a conjecture of Gray's that the same multiplicative properties hold for as well. We go on to give some exponent consequences.
10.
11.
Satoshi Fujii 《Proceedings of the American Mathematical Society》2008,136(2):461-466
In this article we prove the existence of a non-trivial torsion of the -ramified Iwasawa mocule over the -extension of an imaginary quadratic field.
12.
Kohji Matsumoto Takashi Nakamura Hirofumi Tsumura 《Proceedings of the American Mathematical Society》2008,136(6):2135-2145
In this paper, we prove the existence of meromorphic continuation of certain triple zeta-functions of Lerch's type. Based on this result, we prove some functional relations for triple zeta and -functions of the Mordell-Tornheim type. Using these functional relations, we prove new explicit evaluation formulas for special values of these functions. These can be regarded as triple analogues of known results for double zeta and -functions.
13.
Nihat Gö khan Gö gü s 《Transactions of the American Mathematical Society》2008,360(5):2693-2707
A bounded domain is called -regular if the plurisubharmonic envelope of every continuous function on extends continuously to . We show using Gauthier's Fusion Lemma that a domain is locally -regular if and only if it is -regular.
14.
Daniel T. Wise 《Proceedings of the American Mathematical Society》2008,136(1):41-48
We give a criterion for the nonpositive sectional curvature of -complexes. As a consequence, we show that certain -complexes have locally indicable, coherent and even locally quasiconvex fundamental groups.
15.
M. Drissi M. El Hodaibi E. H. Zerouali 《Proceedings of the American Mathematical Society》2008,136(5):1609-1617
Let be a Banach space and let be the class that consists of all operators such that for every , the range of has a finite-codimension when it is closed. For an integer , we define the class as an extension of . We then study spectral properties of such operators, and we extend some known results of multi-cyclic operators with .
16.
B. Emamizadeh M. Zivari-Rezapour 《Proceedings of the American Mathematical Society》2008,136(5):1725-1731
In this note we prove a monotonicity result related to the principal eigenvalue of the -Laplacian in an annulus in .
17.
Manjul Bhargava Melanie Matchett Wood 《Proceedings of the American Mathematical Society》2008,136(5):1581-1587
We prove an asymptotic formula for the number of sextic number fields with Galois group and absolute discriminant . In addition, we give an interpretation of the constant in the formula in terms of the asymptotic densities of given local completions among these sextic fields. Our proof gives analogous results when we count -sextic extensions of any number field, and also when finitely many local completions have been specified for the sextic extensions.
18.
We refine our earlier work on the existence and uniqueness of structures on -theoretic spectra to show that the connective versions of real and complex -theory as well as the connective Adams summand at each prime have unique structures as commutative -algebras. For the -completion we show that the McClure-Staffeldt model for is equivalent as an ring spectrum to the connective cover of the periodic Adams summand . We establish a Bousfield equivalence between the connective cover of the Lubin-Tate spectrum and .
19.
Let be the set of all positive integers , where are primes and possibly two, but not all three of them are equal. For any , define a function by where is the largest prime factor of . It is clear that if , then . For any , define , for . An element is semi-periodic if there exists a nonnegative integer and a positive integer such that . We use ind to denote the least such nonnegative integer . Wushi Goldring [Dynamics of the function and primes, J. Number Theory 119(2006), 86-98] proved that any element is semi-periodic. He showed that there exists such that , ind, and conjectured that ind can be arbitrarily large.
In this paper, it is proved that for any we have ind , and the Green-Tao Theorem on arithmetic progressions in the primes is employed to confirm Goldring's above conjecture.
20.
Weimin Sheng 《Proceedings of the American Mathematical Society》2008,136(5):1795-1802
In most previous works on the existence of solutions to the -Yamabe problem, one assumes that the initial metric is -admissible. This is a pointwise condition. In this paper we prove that this condition can be replaced by a weaker integral condition.