Results 91 to 100 of about 1,361 (124)
Hardy’s inequalities and integral operators on Herz-Morrey spaces
Open Mathematics, 2020 We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
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On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type [PDF]
, 2015 Let $\mathcal X$ be an RD-space, which means that $\mathcal X$ is a space of homogeneous type in the sense of Coifman-Weiss with the additional property that a reverse doubling property holds in $\mathcal X$.
Ky, Luong Dang
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Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces
, 2018 Let L = − +V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RHn/2 , let b belong to a new BMOθ (ρ) space, and let I L β be the fractional integral operator associated with L . In this paper, we study the
A. Akbulut +3 more
semanticscholar +1 more source
International Journal of Apllied Mathematics, 2019 In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent L̃ p(·),λ ω (Ω), where Ω ⊂ R are unbounded sets. After that we
J. Hasanov, A. Musayev
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Open MathematicsLet L=−△+VL=-\bigtriangleup +V be the Schrödinger operator on Rn{{\mathbb{R}}}^{n}, where V≠0V\ne 0 is a non-negative function satisfying the reverse Hölder class RHq1R{H}_{{q}_{1}} for some q1>n⁄2{q}_{1}\gt n/2. △\bigtriangleup is the Laplacian on Rn{{\
Celik Suleyman +2 more
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Boundedness of the maximal operator in the local Morrey-Lorentz spaces
, 2013 In this paper we define a new class of functions called local Morrey-Lorentz spaces Mp,q;λloc(Rn ...
C. Aykol, V. Guliyev, A. Serbetci
semanticscholar +1 more source
Open Mathematics, 2016 In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
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Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces
Open Mathematics, 2016 In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels TΩ,αA1,A2,…,Ak,$T_{\Omega ,\alpha }^{{A_1},{A_2}, \ldots ,{A_k}},$ which is a generalization of the higher-order commutator of the rough fractional ...
Akbulut Ali, Hasanov Amil
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Open Mathematics, 2018 Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
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A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds
, 2010 We prove non local Hardy inequalities on Carnot groups and Riemannian manifolds, relying on integral representations of fractional Sobolev ...
Russ, Emmanuel, Sire, Yannick
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