Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators

DOI10.1155/2023/8001131zbMath1517.35249OpenAlexW4360948481MaRDI QIDQ6099098

Li Yang, Pengtao Li

Publication date: 19 June 2023

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2023/8001131

zbMATH Keywords

regularity estimatefractional heat kernel

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11) Heat kernel (35K08)

Cites Work

• Unnamed Item
• Unnamed Item
• Commutators of Riesz transforms related to Schrödinger operators
• Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
• \(BMO_L(\mathbb H^n)\) spaces and Carleson measures for Schrödinger operators
• Regularity properties of Schrödinger operators
• Classes of weights related to Schrödinger operators
• The intrinsic square function
• Endpoint estimates for Riesz transforms of magnetic Schrödinger operators
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• \(L^p\) estimates of Schrödinger operators on nilpotent groups
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• On fundamental solutions of generalized Schrödinger operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Quantitative weighted estimates for some singular integrals related to critical functions
• Quantitative estimates for square functions with new class of weights
• Boundedness of operators generated by fractional semigroups associated with Schrödinger operators on Campanato type spaces via \(T1\) theorem
• \(A_p\) weights and quantitative estimates in the Schrödinger setting
• Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting
• Weighted norm inequalities for Schrödinger type operators
• On characterization of Poisson integrals of Schrödinger operators with BMO traces
• Weighted Littlewood-Paley theory and exponential-square integrability
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
• Schrödinger operators in the twentieth century
• Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
• Estimates in L^p for magnetic Schrodinger operators
• H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes

This page was built for publication: Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators