Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces

DOI10.3934/cpaa.2014.13.1435zbMath1408.42011OpenAlexW2332082673MaRDI QIDQ2438963

Jun Cao, Si Bei Yang, Da Chun Yang, Der-Chen E. Chang

Publication date: 7 March 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.1435

zbMATH Keywords

Schrödinger operatoratomLusin area functionMusielak-Orlicz-Hardy spacesecond order Riesz transform

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (18)

Regularity for inhomogeneous Dirichlet problems of some Schrödinger equations on domains ⋮ Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Isomorphisms and several characterizations of Musielak-Orlicz-Hardy spaces associated with some Schrödinger operators ⋮ Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces ⋮ Estimates for second-order Riesz transforms associated with magnetic Schrödinger operators on Musielak-Orlicz-Hardy spaces ⋮ Some estimates of Schrödinger type operators on variable Lebesgue and Hardy spaces ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ <i>L</i>^<i>p</i> Boundedness of Higher Order Schrödinger Type Operators ⋮ The characterizations of Hardy–Sobolev spaces by fractional square functions related to Schrödinger operators ⋮ Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains ⋮ The second-order Riesz transforms related to Schrödinger operators acting on BMO type spaces on the stratified Lie group ⋮ Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators ⋮ Second-order Riesz transforms associated with magnetic Schrödinger operators ⋮ BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators ⋮ A Calderón-Zygmund operator of higher order Schrödinger type ⋮ Molecular characterization of anisotropic weak Musielak-Orlicz Hardy spaces and their applications ⋮ Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems ⋮ Several remarks on Musielak-Orlicz Hardy spaces

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