共查询到20条相似文献,搜索用时 46 毫秒
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Ming-Yi Lee 《Journal of Mathematical Analysis and Applications》2006,324(2):1274-1281
Let w be a Muckenhoupt weight and be the weighted Hardy spaces. We use the atomic decomposition of and their molecular characters to show that the Bochner-Riesz means are bounded on for 0<p?1 and δ>max{n/p−(n+1)/2,[n/p]rw−1(rw−1)−(n+1)/2}, where rw is the critical index of w for the reverse Hölder condition. We also prove the boundedness of the maximal Bochner-Riesz means for 0<p?1 and δ>n/p−(n+1)/2. 相似文献
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Mitsunori Imaoka 《Topology and its Applications》2010,157(15):2435-2445
We study the stable extendibility of R-vector bundles over the (2n+1)-dimensional standard lens space Ln(p) with odd prime p, focusing on the normal bundle to an immersion of Ln(p) in the Euclidean space R2n+1+t. We show several concrete cases in which is stably extendible to Lk(p) for any k with k?n, and in several cases we determine the exact value m for which is stably extendible to Lm(p) but not stably extendible to Lm+1(p). 相似文献
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M. Niebrzydowski 《Journal of Pure and Applied Algebra》2009,213(5):742-755
We solve the conjecture by R. Fenn, C. Rourke and B. Sanderson that the rack homology of dihedral quandles satisfies for p odd prime [T. Ohtsuki, Problems on invariants of knots and 3-manifolds, Geom. Topol. Monogr. 4 (2002) 377-572, Conjecture 5.12]. We also show that contains Zp for n≥3. Furthermore, we show that the torsion of is annihilated by 3. We also prove that the quandle homology contains Zp for p odd prime. We conjecture that for n>1 quandle homology satisfies: , where fn are “delayed” Fibonacci numbers, that is, fn=fn−1+fn−3 and f(1)=f(2)=0,f(3)=1. Our paper is the first step in approaching this conjecture. 相似文献
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