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Remarks on the Bernstein inequality for higher order operators and related results

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 Added by Dong Li
 Publication date 2021
  fields
and research's language is English




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This note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results.



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