Parametric Marcinkiewicz integrals with rough kernels acting on weak Musielak-Orlicz Hardy spaces

DOI10.1215/17358787-2018-0015zbMath1405.42035OpenAlexW2898937632WikidataQ129019021 ScholiaQ129019021MaRDI QIDQ1757741

Bo Li

Publication date: 15 January 2019

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1540865070

zbMATH Keywords

Marcinkiewicz integralMuckenhoupt weightMusielak-Orlicz functionweak Hardy space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (2)

Parameter Marcinkiewicz integral and its commutator on generalized Orlicz-Morrey spaces ⋮ Atomic characterizations of weak martingale Musielak-Orlicz Hardy spaces and their applications

Cites Work

• Unnamed Item
• Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\)
• Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces
• New real-variable characterizations of Musielak-Orlicz Hardy spaces
• Predual spaces of Banach completions of Orlicz-Hardy spaces associated with operators
• Estimates for translation invariant operators in \(L^p\) spaces
• New Orlicz-Hardy spaces associated with divergence form elliptic operators
• Function spaces of variable smoothness and integrability
• Orlicz-Hardy spaces associated with operators
• \(H^ p\) continuity properties of Calderón-Zygmund-type operators
• Weighted Hardy spaces
• Calderón-Zygmund-type operators on weighted weak Hardy spaces over \(\mathbb{R}^n\)
• Duality of non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. Dedicated to Professor Hiroaki Aikawa on the occasion of his sixtieth birthday
• Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• \(H^p_w- L^p_w\) boundedness of Marcinkiewicz integral
• \(H^p\) spaces of several variables
• Weak Musielak-Orlicz Hardy spaces and applications
• ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
• The space Weak H¹
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Weighted boundedness of parametric Marcinkiewicz integral and higher order commutator

This page was built for publication: Parametric Marcinkiewicz integrals with rough kernels acting on weak Musielak-Orlicz Hardy spaces