Fractional integrals and their commutators on martingale Orlicz spaces

DOI10.1016/J.JMAA.2020.123991zbMath1448.60094OpenAlexW3007385438MaRDI QIDQ2308349

Gaku Sadasue, Eiichi Nakai, Ryutaro Arai

Publication date: 3 April 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123991

zbMATH Keywords

commutatorsfractional integralsCampanato spacesmartingale transformsmartingale Orlicz spaces

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (12)

The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ Dual spaces for martingale Musielak-Orlicz Lorentz Hardy spaces ⋮ Grand martingale Hardy spaces for \(0<p \leq 1\) ⋮ New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents ⋮ Generalized grand Lorentz martingale spaces ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Dyadic maximal operators on martingale Musielak-Orlicz Hardy type spaces and applications ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Real interpolation of martingale Orlicz Hardy spaces and BMO spaces ⋮ Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis

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