D. Mueller

activity

20032005

L^{p}

-type on exponential solvable groups

6 citations · 8 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.CA2003★ 6 cited

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential solvable groups

W. Hebisch, J. Ludwig, D. Mueller

Let $L$ denote a right-invariant sub-Laplacian on an exponential, hence solvable Lie group $G$ , endowed with a left-invariant Haar measure. Depending on the structure of $G$ , and p…

math.CA2003

Solvability of dissipative second order left-invariant differential operators on the Heisenberg group

Detlef Mueller

We prove local solvability for large classes of operators of the form $L = j, k = 1 \sum 2 n a_{j k} V_{j} V_{k} + i α U,$ where the $V_{j}$ are left-invariant vector fields on the Heisenberg g…

math.CA2003

Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces

I. A. Ikromov, M. Kempe, D. Mueller

We study the boundedness problem for maximal operators in 3-dimensional Euclidean space associated to hypersurfaces given as the graph of $c + f$ , where $f$ is a mixed homogeneous fu…

Sub-Laplacians of holomorphic Lp-type on exponential solvable groups

Solvability of dissipative second order left-invariant differential operators on the Heisenberg group

Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential solvable groups