Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
Open MathematicsIn this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
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Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
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Global well-posedness for the generalized Keller-Segel system in critical Besov-Morrey spaces with variable exponent [PDF]
This article is devoted to studying the generalized Keller-Segel system (GKS) in homogeneous variable exponent Besov-Morrey spaces. By making use of the Littlewood-Paley theory and the Chemin mono-norm methods, we obtain, when 1/2< β ≤ 1, a global ...
EL IDRISSI, Ahmed +3 more
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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 boundedness result for Marcinkiewicz integral operator
Open Mathematics, 2020 We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]
, 2006 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel ...
Hasanov, Javanshir, Guliyev, Vagif
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On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials [PDF]
, 2009 Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...].
Guliyev, Emin
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Weighted decoupling estimates and the Bochner-Riesz means
Forum of Mathematics, SigmaWe prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
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Centered Hardy-Littlewood maximal function on product manifolds
Advances in Nonlinear Analysis, 2022 Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
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Volume mean operator and differentiation results associated to root systems [PDF]
, 2017 Let R be a root system in R d with Coxeter-Weyl group W and let k be a non-negative multiplicity function on R. The generalized volume mean of a function f ∈ L 1 loc (R d , m k), with m k the measure given by dm k (x) := ω k (x)dx := ∏ α∈R | ⟨α, x⟩ | k(α)
Rejeb, Chaabane
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