A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution
الملخص
In this article, certain sharp Lp estimates for a specific class of generalized Marcinkiewicz
operators with mixed homogeneity associated to surfaces of revolution are established. By virtue of
Yano’s extrapolation argument, beside these estimates, the Lp boundedness of the aforementioned
operators under weaker assumptions on the kernels is confirmed. The obtained results in this article
are fundamental extensions and improvements of numerous previously known results on parabolic
generalized Marcinkiewicz integrals.
المجموعات
- الرياضيات والإحصاء والفيزياء [726 items ]