Generalized Hölder estimates via generalized Morrey norms for some ultraparabolic operators
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis and Mathematical Physics (Q1) | ||
| Dergi ISSN | 1664-2368 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 07-2024 |
| Cilt / Sayı / Sayfa | 14 / 4 / 86–0 | DOI | 10.1007/s13324-024-00941-y |
| Makale Linki | http://dx.doi.org/10.1007/s13324-024-00941-y | ||
| Özet |
| We consider a class of hypoelliptic operators of the following type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} {\mathcal {L}}=\sum \limits _{i,j=1}^{p_0} a_{ij} \partial _{x_i x_j}^2+\sum \limits _{i,j=1}^{N} b_{ij} x_i \partial _{x_j}-\partial _t, \end{aligned}$$\end{document}where , are constant matrices and is symmetric positive definite on . We obtain generalized Hölder estimates for on by establishing several estimates of singular integrals in generalized Morrey spaces. |
| Anahtar Kelimeler |
| 35B45 | 42B20 | Generalized Hölder estimate | Generalized Morrey space | Homogeneous type space | Primary 35R03 | Singular integral operators | Ultraparabolic operators |
| Atıf Sayıları | |
| Google Scholar | 2 |