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101.
102.
103.
Nguyn H.V. Hung 《Mathematische Zeitschrift》1999,231(4):727-743
Let be the mod 2 Steenrod algebra. We construct a chain-level representation of the dual of Singer's algebraic transfer, which maps Singer's invariant-theoretic model of the dual of the Lambda algebra, , to and is the inclusion of the Dickson algebra, , into . This chain-level representation allows us to confirm the weak conjecture on spherical classes (see [9]), assuming the truth
of (1) either the conjecture that the Dickson invariants of at least
k = 3 variables are homologically zero in
}, (2) or a conjecture on
${\mathcal{A}}$
-decomposability of the Dickson algebra in
$\Gamma_k^{\wedge}$. We prove the conjecture in item (1) for k = 3 and also show a weak form of the conjecture in item (2).
Received November 27, 1996; in final form March 6, 1998 相似文献
104.
Consider the group of affine transformations of the line. Denote by X and Y the right-invariant vector fields corresponding to the s and t directions, respectively, and let We prove that the first-order Riesz operator is of weak type (1, 1) with respect to left Haar measure. This operator is therefore also bounded on . Our results provide answers, in a particular instance, to the open question of the boundedness of Riesz operators on Lie
groups of exponential growth. The main parts of the proof concern the behaviour of the kernel of the operator at infinity,
and exploit cancellation. A key technique is to use expansion with respect to scales of Haar-like functions.
Received March 16, 1998; in final form June 22, 1998 相似文献
105.
In this paper, we study the small time behavior of Ornstein–Ulenbeck processes with unbounded linear drifts on Hilbert spaces.
The large deviations estimates are obtained. The general theory of Dirichlet forms, Lyons–Zheng′s decompositions and the convolution
representation of the processes play an important role.
Received: 12 February 1997 / Revised version: 27 November 1998 相似文献
106.
Martin Gugat 《Mathematical Programming》1999,85(3):643-653
The growth of the multipliers, when the parameter approaches such a critical parameter, is characterized by a parametric constraint
qualification which is introduced here. It is equivalent to a bound on the growth of the multipliers.
Received May 8, 1995 / Revised version received February 12, 1998
Published online February 25, 1999 相似文献
107.
Hiroyuki Chihara 《Mathematische Annalen》1999,315(4):529-567
We discuss local existence and gain of regularity for semilinear Schr?dinger equations which generally cause loss of derivatives.
We prove our results by advanced energy estimates. More precisely, block diagonalization and Doi's transformation, together
with symbol smoothing for pseudodifferential operators with nonsmooth coefficients, apply to systems of Schr?dinger-type equations.
In particular, the sharp G?rding inequality for pseudodifferential operators whose coefficients are twice continuously differentiable,
plays a crucial role in our proof.
Received: 14 December 1998 相似文献
108.
Sans résumé
Received: 3 April 1998 / in final form: 16 December 1998 相似文献
109.
110.