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A Calderón–Zygmund operator of higher order Schrödinger type
Author(s) -
Sugano Satoko
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500123
Subject(s) - mathematics , type (biology) , operator (biology) , schrödinger's cat , order (exchange) , class (philosophy) , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , finance , repressor , artificial intelligence , biology , computer science , transcription factor , economics , gene
We consider higher order Schrödinger type operators with nonnegative potentials. We assume that the potential belongs to the reverse Hölder class which includes nonnegative polynomials. We show that an operator of higher order Schrödinger type is a Calderón–Zygmund operator. We also show that there exist potentials which satisfy our assumptions but are not nonnegative polynomials.