Commutators of Littlewood-Paley [...] gκ∗$g_{\kappa}^{*} $-functions on non-homogeneous metric measure spaces

• Autorzy: Guanghui Lu , Shuangping Tao
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to prove that the boundedness of the commutator [...] Mκ,b∗ $\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator [...] Mκ∗ $\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure spaces satisfying the upper doubling and the geometrically doubling conditions. Under the assumption that the kernel of [...] Mκ∗ $\mathcal{M}_{\kappa}^{*} $ satisfies a certain Hörmander-type condition, the authors prove that [...] Mκ,b∗ $\mathcal{M}_{\kappa,b}^{*} $ is bounded on Lebesgue spaces Lp(μ) for 1 < p < ∞, bounded from the space L log L(μ) to the weak Lebesgue space L1,∞(μ), and is bounded from the atomic Hardy spaces H1(μ) to the weak Lebesgue spaces L1,∞(μ).

Słowa kluczowe

EN

Non-homogeneous metric measure space; Commutators; gκ*-functions; RBMO (μ); Hardy space

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory
• 30L99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1283-1299

Daty

wydano

2017-01-01

otrzymano

2016-07-10

zaakceptowano

2017-09-29

online

2017-11-13

Twórcy

autor

Guanghui Lu

• , , , ,

autor

Shuangping Tao

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0110