A5100419641- Advanced Harmonic Analysis Research
- Nonlinear Partial Differential Equations
- Advanced Mathematical Physics Problems
- Differential Equations and Boundary Problems
- Mathematical Analysis and Transform Methods
- Mathematical Approximation and Integration
- Spectral Theory in Mathematical Physics
- Numerical methods in inverse problems
- Holomorphic and Operator Theory
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Gas Dynamics and Kinetic Theory
- Fluid Dynamics and Turbulent Flows
- Ideological and Political Education
- Advanced Banach Space Theory
- Navier-Stokes equation solutions
- Fractional Differential Equations Solutions
- Geometric Analysis and Curvature Flows
- Inorganic Chemistry and Materials
- Geometry and complex manifolds
- Gastroesophageal reflux and treatments
- Pelvic and Acetabular Injuries
- Power Systems and Renewable Energy
- Thermal Expansion and Ionic Conductivity
- Nanofluid Flow and Heat Transfer
University of Science and Technology Beijing
2014-2024
Northeastern University
2024
The University of Texas at Dallas
2016-2021
Huaihua University
2011
Ministry of Education of the People's Republic of China
2008
Hohai University
2008
Beijing Normal University
2007-2008
Southwest Hospital
2006
Abstract In this paper we characterize the compactness of commutator [ b , T ] for singular integral operator on Morrey spaces . More precisely, prove that if -closure then is a compact ∞ < p and 0 ⋋ n Conversely, some (1 ∞), Moreover, boundedness rough its are also given. We obtain sufficient condition subset in space to be strongly pre-compact set, which has interest own right.
In this paper, the authors prove that commutator [b,L] is a compact operator in Lp(Rn) if and only b $\in$ VMO(Rn), where L denotes Littlewood-Paley operators, such as g-function, Lusin area integral gλ* function.
For b ∈ L 1 loc ޒ( n ) and α (0, 1), let D be the fractional differential operator T singular integral operator.We obtain a necessary sufficient condition on function to guarantee that [b, ] is bounded space such as p p,λ for any < ∞.Furthermore, we establish [b,. This new theory.Finally, apply our general theory Hilbert Riesz transforms.
The commutator of convolution type Calderon-Zygmund singular integral operators with rough kernels <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p period v StartFraction normal upper Omega left-parenthesis x right-parenthesis Over StartAbsoluteValue EndAbsoluteValue Superscript n Baseline EndFraction"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>.</mml:mo> <mml:mi>v</mml:mi> <mml:mfrac> <mml:mi...
We prove the <TEX>$L^p(1<p<\infty)$</TEX> boundedness of parabolic Marcinkiewicz integral with kernel function <TEX>$\Omega{\in}L(log^+L)^{1/2}(S^{n-1})$</TEX>. The result is an improvement and extension some known results.
In this paper the authors give a characterization of compactness for commutator $[b,\mu_\Omega]$ in Morrey spaces $L^{p,\,\lambda}(\mathbb R^n)$, where $\mu_\Omega$ denotes Marcinkiewicz integral. More precisely, prove that if $b\in \mathrm{VMO}(\mathbb{R}^n)$, $\mathrm{BMO}(\mathbb{R}^n)$-closure $C_c^\infty(\mathbb{R}^n)$, then commutators is compact operator $L^{p,\,\lambda}(\mathbb{R}^n)$ $1 \lt p \infty$ and $0 \lambda n$. Conversely, $b \in \mathrm{BMO}(\mathbb{R}^n)$ $[b,...
n this paper the authors prove L^2(\mathbb{R}^n) boundedness of commutator singular integral operator with rough variable kernels, which is a substantial improvement and extension some known results.
Abstract Let Ω( y ′ ) be an H 1 ( S n −1 function on the unit sphere satisfying a certain cancellation condition. We study L p boundedness of singular integral operator where α ≥ and ρ is norm which homogeneous with respect to nonistropic dilation. The result in paper substantially improves extends some known results.
Abstract The paper gives a comprehensive study on the space fractional boundary layer flow and heat transfer over stretching sheet with variable thickness, magnetic field is applied. Novel governing equations left right Riemann–Liouville derivatives subject to irregular region are formulated. By introducing new variables, conditions change as traditional ones. Solutions of obtained numerically where shifted Grünwald formulae Good agreement between numerical solutions exact which constructed...
Abstract In this paper, we give the L p boundedness for a class of parabolic Littlewood–Paley g -function with its kernel function Ω is in Hardy space H 1 ( S n –1 ).
In the present paper, we consider a kind of singular integralTf(x)=p.v.∫RnΩ(y)|y|n−βf(x−y)dy which can be viewed as an extension classical Calderón-Zygmund type integral. This integral appears in approximation surface quasi-geostrophic (SQG) equation from generalized SQG equation. We establish estimate Lq space for 1<q<∞ and weak (1,1) when 0<β<(q−1)nq without any smoothness assumed on Ω. Moreover, bounds do not depend β strong (q,q) recovered β→0 our obtained estimates.
Abstract This paper is devoted to the study of L p -mapping properties commutators <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>μ</m:mi> <m:mrow> <m:mi>Ω</m:mi> <m:mo>;</m:mo> <m:mi>b</m:mi> <m:mo>,</m:mo> <m:mn>1</m:mn> </m:mrow> </m:msub> </m:math> ${\mu _{\Omega ;b,1}}$ , <m:msubsup> <m:mi>λ</m:mi> <m:mo>*</m:mo> </m:msubsup> ${ \mu ,\lambda ;b,1}^{*}}$ and <m:mi>S</m:mi> ,S;b,1}}$ which are formed respectively by a BMO <m:mo>(</m:mo> <m:msup> <m:mi>ℝ</m:mi>...
In this paper the authors study <TEX>$L^p$</TEX> boundedness for parabolic Littlewood-Paley operator <TEX>$${\mu}{\Phi},{\Omega}(f)(x)=\({\int}_{0}^{\infty}{\mid}F_{\Phi,t}(x){\mid}^2\frac{dt}{t^3}\)^{1/2}$$</TEX>, where <TEX>$$F_{\Phi,t}(x)={\int}_{p(y){\leq}t}\frac{\Omega(y)}{\rho(y)^{{\alpha}-1}}f(x-{\Phi}(y))dy$$</TEX> and <TEX>${\Omega}$</TEX> satisfies a condition introduced by Grafakos Stefanov in [6]. The result extends some known results.