Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators

DOI10.1016/j.bulsci.2021.103031zbMath1470.42042OpenAlexW3186486364MaRDI QIDQ2046115

Truong Xuan Le, Trong Ngoc Nguyen, Tan Duc Do

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103031

zbMATH Keywords

heat kernelweighted Hardy spaceshigher-order Schrödinger operatornew weights

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)

Related Items (2)

Higher-order parabolic Schrödinger operators on Lebesgue spaces ⋮ A new class of weights associated with Schrödinger operator on Heisenberg groups and applications

Cites Work

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• \(L^p\) estimates for the Schrödinger type operators
• Classes of weights related to Schrödinger operators
• Some estimates of higher order Riesz transform related to Schrödinger type operators
• Weighted strongly elliptic operators on Lie groups
• Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Hardy spaces \(H^p_L (\mathbb R^{n })\) associated with operators satisfying \(k\)-Davies-Gaffney estimates
• Extrapolation for classes of weights related to a family of operators and applications
• Gaussian bounds for higher-order elliptic differential operators with Kato type potentials
• Estimates of the fundamental solution for higher order Schrödinger type operators and their applications
• Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
• Weighted HARDY Spaces
• L ^p Spectral Theory of Higher-Order Elliptic Differential Operators
• Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes

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