منابع مشابه
ISOPERIMETRIC INEQUALITY, Q-CURVATURE AND Ap WEIGHTS
A well known question in differential geometry is to control the constant in isoperimetric inequality by intrinsic curvature conditions. In dimension 2, the constant can be controlled by the integral of the positive part of the Gaussian curvature. In this paper, we showed that on simply connected conformally flat manifolds of higher dimensions, the role of the Gaussian curvature can be replaced...
متن کاملTHE INTRINSIC SQUARE FUNCTION AND Ap WEIGHTS
We extend work of the author to show that the “intrinsic” square function, which pointwise dominates (and, in almost all ways, is easier to work with than) the familiar Lusin area function and its real-variable analogues, also defines a bounded operator on L(R, w dx) for all weights w in the Muckenhoupt Ap class (1 < p < ∞). We apply this result to get a strong weighted Littlewood-Paley inequal...
متن کاملMATRIX Ap WEIGHTS VIA S-FUNCTIONS
The statement of the problem. In this paper we study weighted norm inequalities with matrix valued weights. Namely, let W be a d × d matrix weight, i.e. a L-function whose values are selfadjoint nonnegative d × d matrices. We suppose that the weight W is defined on the unit circle T = {z ∈ C : |z| = 1} or the real line R. Let L = L(C) be the space of all measurable vector functions on T whose C...
متن کاملMATRIX Ap WEIGHTS VIA MAXIMAL FUNCTIONS
Weighted Norm theory forms a basic component of the study of singular integrals. Here one attempts to characterize those measure spaces over which a broad class of singular integral operators remain bounded. For the case of singular integral operators on C-valued functions in Euclidean space, the answer is given by the Hunt-Muckenhoupt-Wheeden theorem [10]. It states that the necessary and suff...
متن کاملApproximating power by weights
Determining the power distribution of the members of a shareholder meeting or a legislative committee is a well-known problem for many applications. In some cases it turns out that power is nearly proportional to relative voting weights, which is very beneficial for both theoretical considerations and practical computations with many members. We present quantitative approximation results with p...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 1996
ISSN: 0716-0917,0717-6279
DOI: 10.22199/s07160917.1996.0002.00003