Characterizations of vanishing Campanato classes related to Schrödinger operators via fractional semigroups on stratified groups | Zendy

Wang Zhiyong | Zendy; Dai Tiantian | Zendy; Li Pengtao | Zendy

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Characterizations of vanishing Campanato classes related to Schrödinger operators via fractional semigroups on stratified groups

Author(s) -

Wang Zhiyong,

Dai Tiantian,

Li Pengtao

Publication year - 2021

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.7433

Subject(s) - mathematics , laplace operator , completeness (order theory) , operator (biology) , pure mathematics , oscillation (cell signaling) , fractional laplacian , lie group , schrödinger's cat , mathematical analysis , class (philosophy) , biochemistry , chemistry , genetics , repressor , artificial intelligence , biology , computer science , transcription factor , gene

Let L = − Δ + V be a Schrödinger operator on stratified Lie groups, whereΔ is the sub‐Laplacian on and V belongs to the reverse Hölder class. In this paper, we introduce a new Campanato‐type spacec L γ ( ) of vanishing mean oscillation associated with L . By Carleson measures related to fractional heat semigroups, we establish an equivalent characterization ofc L γ ( ) . As an application, we prove that the dual ofc L γ ( ) isB L p ( ) , whereB L p ( ) is the completeness ofH L p ( ) .

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