M. Kempe

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math.CA2007

Sharp $L^{p}$ -estimates for maximal operators associated to hypersurfaces in $\bR^3$ for $p > 2.$

Isroil A. Ikromov, Michael Kempe, Detlef Müller

We study the boundedness problem for maximal operators $\M$ associated to smooth hypersurfaces $S$ in 3-dimensional Euclidean space. For $p > 2,$ we prove that if no affine tangent p…

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…

Sharp Lp-estimates for maximal operators associated to hypersurfaces in $\bR^3$ for p>2.

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

Sharp $L^{p}$ -estimates for maximal operators associated to hypersurfaces in $\bR^3$ for $p > 2.$