Generalized Hölder estimates via generalized Morrey norms for some ultraparabolic operators

We consider a class of hypoelliptic operators of the following type (Formula presented.) where (aij), (bij) are constant matrices and (aij) is symmetric positive definite on Rp0(p0≤N). We obtain generalized Hölder estimates for L on RN+1 by establishing several estimates of singular integrals in generalized Morrey spaces. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Authors
Guliyev V.S.
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Issue number
4
Language
English
State
Published
Link
External link
DOI
10.1007/S13324-024-00941-Y
Number
86
Volume
14
Year
2024
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 3 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
35B45; 42B20; Generalized Hölder estimate; Generalized Morrey space; Homogeneous type space; Primary 35R03; Singular integral operators; Ultraparabolic operators
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