Best constant approximants in Lorentz spaces
نویسندگان
چکیده
منابع مشابه
The best constant approximant operators in Lorentz spaces Gammap, w and their applications
In the present article we extend the best constant approximant operator from Lorentz spaces Γp,w to Γp−1,w for any 1 < p <∞ and w ≥ 0 a locally integrable weight function, and from Γ1,w to the space of all measurable functions L0. Then we establish several properties of the extended best constant approximant operator and finally, we prove a generalized version of the Lebesgue Differentiation Th...
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Let Nn+p p be an (n + p)-dimensional connected semi-Riemannian manifold of index p. It is called a semi-definite space of index p. When we refer to index p, we mean that there are only p negative eigenvalues of semi-Riemannian metric of Nn+p p and the other eigenvalues are positive. In particular, Nn+1 1 is called a Lorentz space when p = 1. When the Lorentz space Nn+1 1 is of constant curvatur...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2004
ISSN: 0021-9045
DOI: 10.1016/j.jat.2004.10.001