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- W67737916 abstract "Let L=−ΔHn+V be a Schrödinger operator on the Heisenberg group Hn, where ΔHn is the sub-Laplacian and the nonnegative potential V belongs to the reverse Hölder class BQ2. Here Q is the homogeneous dimension of Hn. In this article we investigate the dual space of the Hardy-type space HL1(Hn) associated with the Schrödinger operator L, which is a kind of BMO-type space BMOL(Hn) defined by means of a revised sharp function related to the potential V. We give the Fefferman–Stein type decomposition of BMOL-functions with respect to the (adjoint) Riesz transforms R˜jL for L, and characterize BMOL(Hn) in terms of the Carleson measure. We also establish the BMOL-boundedness of some operators, such as the (adjoint) Riesz transforms R˜jL, the Littlewood–Paley function sQL, the Lusin area integral SQL, the Hardy–Littlewood maximal function, and the semigroup maximal function. All results hold for stratified groups as well." @default.
- W67737916 created "2016-06-24" @default.
- W67737916 creator A5076524688 @default.
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- W67737916 date "2011-10-01" @default.
- W67737916 modified "2023-09-24" @default.
- W67737916 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi mathvariant=italic>BMO</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi mathvariant=double-struck>H</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo stretchy=false>)</mml:mo></mml:math> spaces and Carleson measures for Schrödinger operators" @default.
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- W67737916 doi "https://doi.org/10.1016/j.aim.2011.06.024" @default.
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