End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator | Zendy

Yanping Chen | Zendy; Wenyu Tao | Zendy

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End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator

Author(s) -

Yanping Chen,

Wenyu Tao

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/8867966

Subject(s) - operator (biology) , schrödinger's cat , mathematics , quasinormal operator , point (geometry) , shift operator , momentum operator , multiplication operator , finite rank operator , mathematical physics , mathematical analysis , compact operator , computer science , chemistry , geometry , banach space , biochemistry , repressor , transcription factor , gene , extension (predicate logic) , hilbert space , programming language

Let L = − Δ + μ be the generalized Schrödinger operator on ℝ d , d ≥ 3 , where μ ≠ 0 is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions. In this work, we give a new BMO space associated to the generalized Schrödinger operator L , BM O θ , L , which is bigger than the BMO spaces related to the classical Schrödinger operators A = − Δ + V , with V a potential satisfying a reverse Hölder inequality introduced by Dziubański et al. in 2005. Besides, the boundedness of the Littlewood-Paley operators associated to L in BM O θ , L also be proved.

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