Sparse bounds for oscillating multipliers on stratified groups

Abhishek Ghosh, Michael Ruzhansky
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Abstract

In this article, we address sparse bounds for a class of spectral multipliers that include oscillating multipliers on stratified Lie groups. Our results can be applied to obtain weighted bounds for general Riesz means and for solutions of dispersive equations.

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分层群振荡乘数的稀疏边界
在本文中,我们讨论了一类谱乘数的稀疏边界,其中包括分层李群上的振荡乘数。我们的结果可用于获得一般里兹均值和分散方程解的加权界值。
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On combinatorial properties of Gruenberg–Kegel graphs of finite groups Sparse bounds for oscillating multipliers on stratified groups Some sharp inequalities for norms in $$\mathbb {R}^n$$ and $$\mathbb {C}^n$$ Ill-posedness for the gCH-mCH equation in Besov spaces Stability of pseudo peakons for a new fifth order CH type equation with cubic nonlinearities
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