Generalized homogeneous Littlewood-Paley \(g\)-function on some function spaces

DOI10.1007/s40840-020-00934-7zbMath1457.42032OpenAlexW3020128981MaRDI QIDQ2227934

Guanghui Lu, Shuang Ping Tao

Publication date: 16 February 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00934-7

zbMATH Keywords

Lipschitz spacecommutatorgeneralized Morrey spacenon-homogeneous metric measure spacehomogeneous Littlewood-Paley \(g\)-function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Abstract harmonic analysis (43A99) Analysis on metric spaces (30L99)

Related Items (6)

FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES ⋮ Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces ⋮ Some estimates for commutators of Littlewood-Paley \(g\)-functions ⋮ Bilinear \(\theta\)-type generalized fractional integral and its commutator on nonhomogeneous metric measure spaces ⋮ Unnamed Item ⋮ Bilinear \(\theta\)-type generalized fractional integral operator and its commutator on some non-homogeneous spaces

Cites Work

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• Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces
• Generalized fractional integrals and their commutators over non-homogeneous metric measure spaces
• On some weighted norm inequalities for Littlewood-Paley operators
• Generalized Morrey spaces for non-doubling measures
• \(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures
• Endpoint estimates for homogeneous Littlewood-Paley \(g\)-functions with non-doubling measures
• Finite-step relaxed hybrid steepest-descent methods for variational inequalities
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• Commutators of Littlewood-Paley operators
• Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces
• Lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces
• Painlevé's problem and the semiadditivity of analytic capacity.
• Morrey spaces for nonhomogeneous metric measure spaces
• The molecular characterization of the Hardy space \(H^1\) on non-homogeneous metric measure spaces and its application
• Some identities of \(q\)-Euler polynomials arising from \(q\)-umbral calculus
• Fractional type Marcinkiewicz commutators over non-homogeneous metric measure spaces
• Endpoints estimates for commutators of a class of Littlewood-Paley operators
• Littlewood-Paley theory on metric spaces with non doubling measures and its applications
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• The Hardy space H¹ on non-homogeneous metric spaces
• Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A Note on a Littlewood-Paley Inequality for Arbitrary Intervals in R²
• Extensions of Hardy spaces and their use in analysis
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture
• GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES
• Theorems on Fourier Series and Power Series(III)
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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