服从
发表于 2025-3-28 18:26:39
A Survey of Multidimensional Generalizations of Cantor’s Uniqueness Theorem for Trigonometric Seriesmension ., .≥2, we begin by assuming that for each . in [0,2π)., ∑....=0 where . and .. It is quite natural to group together all terms whose indices differ only by signs. But here there are still several different natural interpretations of the infinite multiple sum, and, correspondingly, several d
观点
发表于 2025-3-28 22:01:25
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注射器
发表于 2025-3-29 01:39:29
Multiparameter Projection Theorems with Applications to Sums-Products and Finite Point Configuration, where . is a subset of the real line of a given Hausdorff dimension, . and . ⋅.={ . ⋅. :.,.∈.}. We also use projection results and inductive arguments to show that if a Hausdorff dimension of a subset of .. is sufficiently large, then the .-dimensional Lebesgue measure of the set of .-simplexes de
向外才掩饰
发表于 2025-3-29 03:14:04
Riesz Potentials, Bessel Potentials, and Fractional Derivatives on Besov-Lipschitz Spaces for the Gan detail in Gatto and Urbina (On Gaussian Lipschitz Spaces and the Boundedness of Fractional Integrals and Fractional Derivatives on them, 2009. Preprint. arXiv:0911.3962v2). In this chapter we will study the boundedness of those operators on Gaussian Besov-Lipschitz spaces ...(γ.). Also, these resu
TAG
发表于 2025-3-29 09:44:35
Maximal Operators Associated to Sets of Directions of Hausdorff and Minkowski Dimension Zerois given by . In this chapter we show that if .. is bounded on ..(ℝ.) for 1<.≤., then . must be countable and of Hausdorff and Minkowski dimension zero. We shall see that the converse does not hold, however, by exhibiting an example of a countable set . of Hausdorff and Minkowski dimension zero for
GROUP
发表于 2025-3-29 14:26:50
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真实的你
发表于 2025-3-29 17:18:05
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悬挂
发表于 2025-3-29 23:21:33
On Fubini Type Property in Lorentz Spaces coordinate axes belong to ., and their one-dimensional ..-norms belong to . We show that for . ≠ . it does not imply that . (this complements one result by Cwikel). Conversely, we assume that ., and we show that then for . < . almost all linear sections of . belong to ., but for . < . all linear se
pessimism
发表于 2025-3-30 02:25:54
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污秽
发表于 2025-3-30 04:35:24
ary and style issues to writing research papers and for acad.This book is for university students, with at least a mid-intermediate level of English...It is designed both for self-study and also as a support for a course on academic communication. It can thus be used alongside the companion volumes: