BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators

DOI10.1515/GMJ-2019-2069zbMath1471.35107OpenAlexW2990533482MaRDI QIDQ2041365

Shuai Qi, Yu Liu

Publication date: 19 July 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2069

zbMATH Keywords

Schrödinger operatorsRiesz transform\(\mathrm{BMO}_{\mathcal{L}}\) space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30)

Cites Work

• Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators
• The BMO\(_L\) space and Riesz transforms associated with Schrödinger operators
• Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• On fundamental solutions of generalized Schrödinger operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces
• Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators

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