Data di Pubblicazione:
2020
Citazione:
Spectral Multipliers on 2-Step Stratified Groups, I / M. Calzi. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - 26:2(2020 Apr 01). [10.1007/s00041-020-09740-y]
Abstract:
Given a 2-step stratified group which does not satisfy a slight strengthening of the Moore-Wolf condition, a sub-Laplacian L and a family T of elements of the derived algebra, we study the convolution kernels associated with the operators of the form m(L,- iT). Under suitable conditions, we prove that: (i) if the convolution kernel of the operatorm(L,- iT) belongs to L1, thenm equals almost everywhere a continuous function vanishing at 8 Riemann-Lebesgue lemma'); (ii) if the convolution kernel of the operator m(L,- iT) is a Schwartz function, then m equals almost everywhere a Schwartz function.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
spectral multiplier; 2-Step stratified group; Sub-Laplacian; Schwartz class; Riemann-Lebesgue lemma
Elenco autori:
M. Calzi
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