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Boundedness of multilinear operators on Triebel‐Lizorkin spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 5, Page 259-271, 2004., 2004 The purpose of this paper is to study the boundedness in the context of Triebel‐Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood‐Paley operator, Marcinkiewicz integral, and Bochner‐Riesz operator.
Liu Lanzhe
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Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
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Some estimates for commutators of Littlewood-Paley g-functions
Open Mathematics, 2021 The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
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Continuity for some multilinear operators of integral operators on Triebel‐Lizorkin spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 38, Page 2039-2047, 2004., 2004 The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel‐Lizorkin spaces is obtained. The operators include Calderon‐Zygmund singular integral operator and fractional integral operator.
Liu Lanzhe
wiley +1 more source
Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn
Open Mathematics, 2019 The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
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Sharp smoothing properties of averages over curves
Forum of Mathematics, Pi, 2023 We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $\gamma $ in $\mathbb R^d$ , $d\ge 3$ .
Hyerim Ko, Sanghyuk Lee, Sewook Oh
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Rough singular integrals on product spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3671-3684, 2004., 2004 We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
Ahmad Al-Salman, Hussain Al-Qassem
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Analysis and Geometry in Metric Spaces, 2023 Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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, 2013 In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$.
Fiorenza, Alberto +2 more
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Marcinkiewicz integrals along subvarieties on product domains
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 4001-4011, 2004., 2004 We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
wiley +1 more source