A5102995128- Nonlinear Partial Differential Equations
- Advanced Harmonic Analysis Research
- Geometric Analysis and Curvature Flows
- Advanced Mathematical Modeling in Engineering
- Advanced Mathematical Physics Problems
- Holomorphic and Operator Theory
- Analytic and geometric function theory
- Numerical methods in inverse problems
- Mathematical Analysis and Transform Methods
- Geometric and Algebraic Topology
- Advanced Operator Algebra Research
- Advanced Banach Space Theory
- Homotopy and Cohomology in Algebraic Topology
- Advanced MIMO Systems Optimization
- Advanced Wireless Network Optimization
- Functional Equations Stability Results
- Differential Equations and Boundary Problems
- Point processes and geometric inequalities
- Geometry and complex manifolds
- Complexity and Algorithms in Graphs
- Telecommunications and Broadcasting Technologies
- Spectral Theory in Mathematical Physics
- Mathematical and Theoretical Analysis
- Finite Group Theory Research
- graph theory and CDMA systems
Beijing Normal University
2007-2024
Shandong Normal University
2023
University of California, Davis
2014-2022
University of Kentucky
2018-2022
Virginia Tech
2022
Beihang University
2011-2019
Jilin Medical University
2018
Jilin University
2018
Institute for Infocomm Research
2015
Agency for Science, Technology and Research
2014-2015
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Omega"> <mml:semantics> <mml:mi mathvariant="normal">Ω</mml:mi> <mml:annotation encoding="application/x-tex">\Omega</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a domain of alttext="double-struck R Superscript n"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup>...
In this paper we introduce and study weighted anisotropic Hardy spaces H p w (R n ; A) associated with general expansive dilations A ∞ Muckenhoupt weights. This setting includes the classical isotropic space theory of Fefferman Stein, parabolic Calderon Torchinsky, Garcia-Cuerva, Stromberg, Torchinsky. We establish characterizations these via grand maximal function their atomic decompositions for ∈ (0,1 ]. Moreover, prove existence finite achieving norm in dense subspaces A). As an...
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper X"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">X</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">{\mathcal X}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be an RD-space, which means that is a space of homogenous type in the sense Coifman and Weiss with additional...
Abstract Let A 1 and 2 be expansive dilations, respectively, on ℝ n m . ≡ ( , ) 𝒜 p the class of product Muckenhoupt weights × for ∈ (1, ∞]. When ∞) w ), authors characterize weighted Lebesgue space L (ℝ via anisotropic Lusin‐area function associated with (0, 1], ∞ introduce Hardy H ; establish its atomic decomposition. Moreover, prove that finite norm a dense subspace ×ℝ is equivalent standard infinite decomposition norm. As an application, if T sublinear operator maps all atoms into...
On a metric measure space satisfying the doubling property, we establish several optimal characterizations of Besov and Triebel–Lizorkin spaces, including pointwise characterization. Moreover, discuss their (non)triviality under Poincaré inequality.
Abstract Let be a space of homogeneous type in the sense Coifman and Weiss, let collection balls . The authors introduce localized atomic Hardy Morrey-Campanato Morrey-Campanato-BLO (bounded lower oscillation) with α ∊ ℝ p (0, ∞) , they establish their basic properties, including several equivalent characterizations for In particular, prove that when > 0 [1, ∞), then ∈(0,1], dual is ρ an admissible function modeled on known auxiliary determined by Schrödinger operator. Denote spaces...
The authors first give a detailed proof on the coincidence between atomic Hardy spaces of Coifman and Weiss space homogeneous type with those same underlying original distance replaced by measure distance. Then present some general criteria which guarantee boundedness considered linear operators from to Lebesgue or space, provided that it maps all atoms into uniformly bounded elements space. Third, obtain in singular integrals kernels only having weak regularity characterizing these new kind...
An RD-space $\mathcal X$ is a space of homogeneoustype in the sense Coifman and Weiss with additional propertythat reverse doubling condition holds X$.Let $\rho$ be an admissible function on X$.The authors first introduce localized spaces$BMO_\rho(\mathcal X)$ $BLO_\rho(\mathcal X)$and establish their basic properties, including John-Nirenberginequality for $BMO_\rho(\mathcal X)$,several equivalent characterizations X)$,and some relations between these spaces.Then obtain boundedness spacesof...
This paper presents a comprehensive framework for modeling and verifying multi-agent systems. The introduce an Epistemic Process Calculus systems, which formalizes the syntax semantics to capture essential features of agent behavior interactions epistemic states. Building upon this calculus, we propose ATLE, extension Alternating-time Temporal Logic incorporating operators express complex properties related state. To verify ATLE specifications, model checking algorithm that systematically...
In this paper, we will first motivate the heterogeneous network as an evolutionary path to fifth generation (5G) communications. We then present agile software defined architecture which virtualizes various radio access networks such cellular basestations and Wi-Fi points carrier frequencies from both licensed unlicensed bands. The can therefore support much more efficient resource utilization meet quality of service requirement. also share our work in context-aware Wi-Fi-cellular traffic...
Let $p\in(0,1]$, $q\in(1,\infty)$, $\alpha\in[n(1-1/q),\infty)$ and $w_1,\,w_2\in A_1$. The author proves that the norms in weighted Herz-type Hardy spaces $HK^{\alpha,\,p}_q(w_1,\,w_2)$ can be achieved by finite central atomic decompositions some dense subspaces of them. As an application, if $T$ is a sublinear operator maps all $(\alpha,\, q,\,s;\,w_1,\,w_2)_0$-atoms (resp. q,\,s;\,w_1,\,w_2)$-atoms restrict type) into uniformly bounded elements certain quasi-Banach space $\cal B$ for...