The properties of a class of higher-order Teodorescu operators of \(\mathbb{R}^n\). (Chinese. English summary) Zbl 1438.42026
Summary: This paper discusses the boundedness of a class of higher-order singular Teodorescu operators on \(\mathbb{R}^n\). First, a class of high-order \(T\) operators on \(\mathbb{R}^n\) is defined. Then the operator is divided into two parts. We use the Hölder inequality and some lemmas to prove the uniform boundedness of this operator over \(\mathbb{R}^n\).
MSC:
42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
30G35 | Functions of hypercomplex variables and generalized variables |