Boundedness of operators on Campanato spaces related with Schrödinger operators on Heisenberg groups

DOI10.1007/s40840-022-01430-wOpenAlexW4309879223MaRDI QIDQ2683155

Tiantian Dai

Publication date: 3 February 2023

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/s40840-022-01430-w

zbMATH Keywords

Heisenberg groupSchrödinger operator\(T1\) theoremfractional heat semigroup

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Analysis on real and complex Lie groups (22E30) Schrödinger operator, Schrödinger equation (35J10) Linear operators on function spaces (general) (47B38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(BMO_L(\mathbb H^n)\) spaces and Carleson measures for Schrödinger operators
• Regularity properties of Schrödinger operators
• Weighted inequalities for negative powers of Schrödinger operators
• A boundedness criterion for generalized Calderón-Zygmund operators
• Multilinear Calderón-Zygmund theory
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• \(T1\) theorems on Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Regularity estimates in Hölder spaces for Schrödinger operators via a \(T1\) theorem
• Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension
• Carleson measure characterizations of the Campanato type space associated with Schrödinger operators on stratified Lie groups
• Boundedness of operators generated by fractional semigroups associated with Schrödinger operators on Campanato type spaces via \(T1\) theorem
• Weighted estimates for commutators of some singular integrals related to Schrödinger operators
• \(T1\) theorem for Besov and Triebel-Lizorkin spaces
• T1 Theorems for Besov and Triebel-Lizorkin Spaces
• A T1 criterion for Hermite-Calderón-Zygmund operators on the BMOH(Rn) space and applications
• Characterizations of vanishing Campanato classes related to Schrödinger operators via fractional semigroups on stratified groups
• Characterization of singular integral kernel space and \(T(1)\) theorem

This page was built for publication: Boundedness of operators on Campanato spaces related with Schrödinger operators on Heisenberg groups