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.