An Extension of Calderón Transfer Principle and its Application to Ergodic Maximal Function

An Extension of Calderón Transfer Principle and its Application to Ergodic Maximal Function

Authors

  • Sakin Demir

DOI:

https://doi.org/10.22377/ajms.v4i2.272

Abstract

We first prove that the well-known transfer principle of Calderón can be extended to the vector-valued setting, and then, we apply this extension to vector-valued inequalities for the Hardy–Littlewood maximal function to prove the vector-valued strong type Lp norm inequalities for 1< p < α and the vector-valued weak type (1,1) inequality for ergodic maximal function.

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Published

2020-08-21

Issue

Vol. 4 No. 2 (2020): Asian Journal of Mathematical Sciences

Section

Research Article

License

This is an Open Access article distributed under the terms of the Attribution-Noncommercial 4.0 International License [CC BY-NC 4.0], which requires that reusers give credit to the creator. It allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, for noncommercial purposes only.