Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials

DOI10.1007/s11868-023-00538-2zbMath1519.42022OpenAlexW4381192956MaRDI QIDQ6133330

Nan Zhao, Yu Liu, Jiang Zhou

Publication date: 24 July 2023

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00538-2

zbMATH Keywords

commutatorsLittlewood-Paley functions\(A^{\rho}_p\) weightsweighted Morrey type spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classes of weights and second order Riesz transforms associated to Schrödinger operators
• Intrinsic square functions on the weighted Morrey spaces
• Norm inequalities in generalized Morrey spaces
• Weighted endpoint estimates for commutators of Marcinkiewicz integrals
• Commutators of Riesz transforms related to Schrödinger operators
• Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
• Convergence and stability of the Calderón reproducing formula in \(H ^{1}\) and \(BMO\)
• Classes of weights related to Schrödinger operators
• The intrinsic square function
• Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials
• Some weighted norm inequalities concerning the Schrödinger operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Weighted norm inequalities for area functions related to Schrödinger operators
• On boundedness property of singular integral operators associated to a Schrödinger operator in a generalized Morrey space and applications
• Equivalence of norms of the generalized fractional integral operator and the generalized fractional maximal operator on the generalized weighted Morrey spaces
• Morrey spaces for Schrödinger operators with certain nonnegative potentials, Littlewood-Paley and Lusin functions on the Heisenberg groups
• Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting
• Weighted norm inequalities for Schrödinger type operators
• Boundedness for some Schrödinger type operators on weighted Morrey spaces
• Weighted Littlewood-Paley theory and exponential-square integrability
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• \(H^p\) spaces of several variables
• INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES
• The development of square functions in the work of A. Zygmund
• Generalized Morrey spaces associated to Schrödinger operators and applications
• An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
• Weighted Morrey spaces and a singular integral operator
• Weak Type Estimates for Intrinsic Square Functions on Weighted Morrey Spaces
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

This page was built for publication: Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials