Isroil A.Ikromov

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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.CA2007★ 1 cited

On adapted coordinate systems

Isroil A. Ikromov, Detlef Müller

The notion of an adapted coordinate system, introduced by V.I.Arnol'd, plays an important role in the study of asymptotic expansions of oscillatory integrals. In two dimensions, A.…

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

On adapted coordinate systems

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