Premium
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 ( ) .