雀斑 发表于 2025-3-25 04:48:04
Approximation in Weighted Sobolev Spaces,the .. seminorm. Now let .⊂ℝ. be an open set and let . be a nontrivial positive Radon measure on .. We will study the space ., defined as the completion of . with respect to the norm . The closure of . in . is denoted .. Note that if .<. then by Sobolev’s inequality the elements in . can be identifiOnerous 发表于 2025-3-25 09:16:05
,Spectrum of the Schrödinger Operator and the Dirichlet Laplacian,v’s criterion (16.6.2) involves the so-called negligible sets ., that is, sets of sufficiently small harmonic capacity..In Sects. 18.2–18.3 we show that the constant .. given by (16.6.4) can be replaced by an arbitrary constant ., 0<.<1. We even establish a stronger result allowing negligibility conacclimate 发表于 2025-3-25 12:01:05
http://reply.papertrans.cn/87/8693/869247/869247_23.png揭穿真相 发表于 2025-3-25 16:33:10
,Conductor and Capacitary Inequalities with Applications to Sobolev-Type Embeddings,ompact support in .. By . we mean the set {.∈.:|.(.)|>.}, where .>0. We shall use the equivalence relation .∼. to denote that the ratio ./. admits upper and lower bounds by positive constants depending only on ., ., ., and ..声音刺耳 发表于 2025-3-25 20:32:38
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,Spectrum of the Schrödinger Operator and the Dirichlet Laplacian,ay happen that it is satisfied but the spectrum is not discrete (Sect. 18.4). However, we show that in the sufficient condition we can admit arbitrary functions . with values in (0,1), defined for .>0 in a neighborhood of .=0 and satisfying逃避系列单词 发表于 2025-3-26 20:45:11
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