Results 1 to 10 of about 4,089 (272)
$R$ -Boundedness versus $\gamma$ -boundedness [PDF]
Arkiv för Matematik, 2016 It is well-known that in Banach spaces with finite cotype, the $R$-bounded and $\gamma$-bounded families of operators coincide. If in addition $X$ is a Banach lattice, then these notions can be expressed as square function estimates. It is also clear that $R$-boundedness implies $\gamma$-boundedness.
Kwapień, Stanislaw +2 more
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Spectral multiplier theorems and averaged R-boundedness [PDF]
Semigroup Forum, 2017 Error in the title ...
Kriegler, C., Weis, L.
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 In this paper, we consider the boundedness of the operator families in whole space for Navier-Lame model problem in bounded domain of N dimensional Euclidean space (N≥2).
Sri Maryani +2 more
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Note on norm of an m-linear integral-type operator between weighted-type spaces
Advances in Difference Equations, 2021 We find a necessary and sufficient condition for the boundedness of an m-linear integral-type operator between weighted-type spaces of functions, and calculate norm of the operator, complementing some results by L. Grafakos and his collaborators. We also
Stevo Stević
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R-Boundedness of Smooth Operator-Valued Functions [PDF]
Integral Equations and Operator Theory, 2009 some typos ...
Veraar, M. (author) +1 more
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Boundedness of the Hilbert transform on Besov spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 The Hilbert transform along curves is of a great importance in harmonic analysis. It is known that its boundedness on $L^p(\mathbb{R}^n)$ has been extensively studied by various authors in different contexts and the authors gave positive results for some
A. Maatoug, S.E. Allaoui
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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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Stability and boundedness of regular solutions for a Sisko flow in an infinite annular porous space
Results in Physics, 2023 The present article is intended to study the boundedness of solutions for an unsteady non-Newtonian flow, whose strain–stress relationship is provided by the Sisko fluid model.
José Luis Díaz Palencia +3 more
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Hardy operators and the commutators on Hardy spaces
Journal of Inequalities and Applications, 2020 In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\
Zhuang Niu, Shasha Guo, Wenming Li
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Rough singular integrals associated to polynomial curves
Journal of Inequalities and Applications, 2022 In this paper, the authors establish the boundedness of singular integral operators associated to polynomial curves as well as the related maximal operators with rough kernels Ω ∈ H 1 ( S n − 1 ) $\Omega \in H^{1}({\mathrm{S}}^{n-1})$ and h ∈ Δ γ ( R + )
Yulin Zhang, Feng Liu
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