In this paper, the authors establish the(L^p(μ), L^q(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions(b ∈ Lipβ(μ)),where 1 < p < 1/(α + β...In this paper, the authors establish the(L^p(μ), L^q(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions(b ∈ Lipβ(μ)),where 1 < p < 1/(α + β) and 1/q = 1/p-(α + β), and obtain their weak(L^1(μ), L^(1/(1-α-β))(μ))-type. Moreover, the authors also consider the boundedness in the case that 1/(α+β) < p < 1/α,1/α≤ p ≤∞ and the endpoint cases, namely, p = 1/(α + β).展开更多
由于受环境、资源、能耗、异构等因素制约,海上无线技术发展明显滞后于陆地.以低开销、自适应和自主融合为约束,提出一种海上边缘计算云边智能协同服务策略模型(Model of Cloud-Edge Cooperative Service Scheme for Maritime Edge Comp...由于受环境、资源、能耗、异构等因素制约,海上无线技术发展明显滞后于陆地.以低开销、自适应和自主融合为约束,提出一种海上边缘计算云边智能协同服务策略模型(Model of Cloud-Edge Cooperative Service Scheme for Maritime Edge Computing,MCECS-MEC).基于边缘计算构建海上云边智能协同服务网络框架,抽象海上边缘计算节点行为特征,建立具有抑制联合作弊的节点信任和推荐量化综合评价模型,根据其综合属性评价将准盟员节点融合聚类到不同的协同服务池,实现分级就近服务;基于协同服务请求的优先级和负载均衡理论,设计协同服务池组建规则和段页式自适应轻量级、自适应过热规避盟员发现算法,以状态机方式描述和分析MCECS-MEC协同服务状态演化.基于Router View公开数据集对MCECS-MEC模型性能进行仿真分析,仿真实验表明,MCECS-MEC相比于AODV(Ad hoc On-Demand Distance Vector Routing)、SR(Stochastic Routing)算法,减少了57.7%和55.04%的冗余传输流量,链路重寻率小于3%,负载率稳定于65%.MCECS-MEC模型能有效降低过载、热区、空洞效应等对网络性能的影响,提高海上边缘计算云边智能协同服务效率和质量.展开更多
This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions.Some mapping properties for two types of commutators on...This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions.Some mapping properties for two types of commutators on the weighted Lebesgue spaces,which extend and generalize some previous results,are obtained.展开更多
基金Projects(U22A20190, 52175373, 52005516) supported by the National Natural Science Foundation of ChinaProject(ZZYJKT2021-03) supported by the State Key Laboratory of High Performance Complex Manufacturing,Central South University,ChinaProject(2020RC4001) supported by the Science and Technology Innovation Program of Hunan Province,China。
基金Supported by the National Natural Science Foundation of China(Grant No.11661075).
文摘In this paper, the authors establish the(L^p(μ), L^q(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions(b ∈ Lipβ(μ)),where 1 < p < 1/(α + β) and 1/q = 1/p-(α + β), and obtain their weak(L^1(μ), L^(1/(1-α-β))(μ))-type. Moreover, the authors also consider the boundedness in the case that 1/(α+β) < p < 1/α,1/α≤ p ≤∞ and the endpoint cases, namely, p = 1/(α + β).
文摘由于受环境、资源、能耗、异构等因素制约,海上无线技术发展明显滞后于陆地.以低开销、自适应和自主融合为约束,提出一种海上边缘计算云边智能协同服务策略模型(Model of Cloud-Edge Cooperative Service Scheme for Maritime Edge Computing,MCECS-MEC).基于边缘计算构建海上云边智能协同服务网络框架,抽象海上边缘计算节点行为特征,建立具有抑制联合作弊的节点信任和推荐量化综合评价模型,根据其综合属性评价将准盟员节点融合聚类到不同的协同服务池,实现分级就近服务;基于协同服务请求的优先级和负载均衡理论,设计协同服务池组建规则和段页式自适应轻量级、自适应过热规避盟员发现算法,以状态机方式描述和分析MCECS-MEC协同服务状态演化.基于Router View公开数据集对MCECS-MEC模型性能进行仿真分析,仿真实验表明,MCECS-MEC相比于AODV(Ad hoc On-Demand Distance Vector Routing)、SR(Stochastic Routing)算法,减少了57.7%和55.04%的冗余传输流量,链路重寻率小于3%,负载率稳定于65%.MCECS-MEC模型能有效降低过载、热区、空洞效应等对网络性能的影响,提高海上边缘计算云边智能协同服务效率和质量.
基金Project(2017YFB0306300) supported by the National key R&D Program of ChinaProjects(51675538, 51905551)supported by the National Natural Science Foundation of ChinaProject(ZZYJKT2019-11) supported by Free Exploration Project of State Key Laboratory of High performance Complex Manufacturing,China。
基金Supported by the National Natural Science Foundation of China (10771054,11071200)the NFS of Fujian Province of China (No. 2010J01013)
文摘This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions.Some mapping properties for two types of commutators on the weighted Lebesgue spaces,which extend and generalize some previous results,are obtained.
