A simple proof of the atomic decomposition for , 0 < p ≤ 1
A countrexample in the Galois module structure of wild extensions of the rational field
Extensions with identical wild ramification
Galois module structure of the rings of integers in wildly ramified extensions
The main results of this paper may be loosely stated as follows.
Some counter-examples in the theory of the Galois module structure of wild extensions
Considering the ring of integers in a number field as a -module (where is a galois group of the field), one hoped to prove useful theorems about the extension of this module to a module or a lattice over a maximal order. In this paper it is show that it could be difficult to obtain, in this way, parameters which are independent of the choice of the maximal order. Several lemmas about twisted group rings are required in the proof.
Alexander ideals of classical knots.
The Alexander ideals of classical knots are characterised, a result which extends to certain higher dimensional knots.
On Franel-Kluyver integrals of order three
A semi-discrete Littlewood-Paley inequality
We apply a decomposition lemma of Uchiyama and results of the author to obtain good weighted Littlewood-Paley estimates for linear sums of functions satisfying reasonable decay, smoothness, and cancellation conditions. The heart of our application is a combinatorial trick treating m-fold dilates of dyadic cubes. We use our estimates to obtain new weighted inequalities for Bergman-type spaces defined on upper half-spaces in one and two parameters, extending earlier work of R. L. Wheeden and the author....
Global orthogonality implies local almost-orthogonality.
We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums.
Weighted two-parameter Bergman space inequalities.
Weighted inequalities for gradients on non-smooth domains
We prove sufficiency of conditions on pairs of measures μ and ν, defined respectively on the interior and the boundary of a bounded Lipschitz domain Ω in d-dimensional Euclidean space, which ensure that, if u is the solution of the Dirichlet problem. Δu = 0 in Ω, , with f belonging to a reasonable test class, then , where 1 < p ≤ q < ∞ and q ≥ 2. Our sufficiency conditions resemble those found by Wheeden and Wilson for the Dirichlet problem on . As in that case we attack the problem by...
Two-dimensional combination warranty policies
Weighted L... Estimates for Derivates of Weighted H... Functions.
Reciprocity formulae for general Dedekind-Rademacher sums
A mathematical model of a micrometastasis.
The non-uniform spatial development of a micrometastasis.
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