Maximal Averages over Singular Hypersurfaces
We consider maximal operators associated with a class of parameterized singular hypersurfaces in $$\mathbb{R}^{n+1},$$ showing boundedness of these operators in Lebesgue $$L^{p}$$ space for $$p>2$$ . Also, we prove that at least one of the principal curvatures is non-zero at each regular point of these hypersurfaces.
Authors
- İsmail Ekincioğlu (ORCID: https://orcid.org/0000-0002-5636-1214)
- S. E. Usmanov (ORCID: https://orcid.org/0000-0002-2065-8788)
Institutions
- Samarkand State University named after Sharof Rashidov (UZ)
- Istanbul Medeniyet University (TR)
- Westminster International University in Tashkent (UZ)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1134/s1995080225605235
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00