共查询到20条相似文献,搜索用时 15 毫秒
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《Journal of Functional Analysis》2023,284(7):109835
We employ separation of variables to prove weighted resolvent estimates for the semiclassical Schrödinger operator in dimension , where , and is and compactly supported. The weighted resolvent norm grows no faster than , while an exterior weighted norm grows . We introduce a new method based on the Mellin transform to handle the two-dimensional case. 相似文献
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Minimal blocking sets in have size at most . This result is due to Bruen and Thas and the bound is sharp, sets attaining this bound are called unitals. In this paper, we show that the second largest minimal blocking sets have size at most , if , , or , , . Our proof also works for sets having at least one tangent at each of its points (that is, for tangency sets). 相似文献
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This paper deals with the chemotaxis-growth system: , , in a smooth bounded domain with zero-flux boundary conditions, where μ, δ, and τ are given positive parameters. It is shown that the solution exponentially stabilizes to the constant stationary solution in the norm of as provided that and any given nonnegative and suitably smooth initial data fulfills , which extends the condition in [8]. 相似文献
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《Journal of Functional Analysis》2023,284(9):109877
We prove an atomic type decomposition for the noncommutative martingale Hardy space for all by an explicit constructive method using algebraic atoms as building blocks. Using this elementary construction, we obtain a weak form of the atomic decomposition of for all , and provide a constructive proof of the atomic decomposition for which resolves a main problem on the subject left open for the last twelve years. We also study -atoms, and show that every -atom can be decomposed into a sum of -atoms; consequently, for every , the -atoms lead to the same atomic space for all . As applications, we obtain a characterization of the dual space of the noncommutative martingale Hardy space () as a noncommutative Lipschitz space via the weak form of the atomic decomposition. Our constructive method can also be applied to prove some sharp martingale inequalities. 相似文献