Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition

Authors:	Email author" target="_blank">Detlef?Müller Email author Fulvio?Ricci

Institution:	1.Mathematisches Seminar,Christian-Albrechts-Universit?t zu Kiel,Kiel,Germany;2.Dipartimento di Matematica,Politecnico di Torino,Torino,Italy

Abstract:	We discuss local solvability of operators of the form $\sum\limits_{j,k = 1}^{2n} {a_{jk} V_j V_k + i\alpha U}$ where theV _j are left-invariant vector fields on the Heisenberg group such that V _j,V _j+n]=U for 1≤j≤n andA=(a _jk)=A ₁+iA ₂ is a complex symmetric matrix satisfying the “cone condition” \|A ₂\|≤CA ₁. The authors acknowledge the support for this work by the European Commission through the European HCM-program “Fourier Analysis” and the TMR network “Harmonic Analysis”.

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