JournalszaaVol. 39, No. 4pp. 433–460

Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces

  • Dao Van Duong

    Mientrung University of Civil Engineering, Phu Yen, Vietnam

  • Kieu Huu Dung

    University of Transport and Communications, Hanoi, Vietnam

  • Nguyen Minh Chuong

    Vietnamese Academy of Science and Technology, Hanoi, Vietnam
Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces cover
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Abstract

In this paper, by using the idea of linearizing maximal operators originated by Charles Fefferman and the method of Stein–Wainger, we establish a weighted inequality for vector valued maximal Carleson type operators with singular kernels proposed by Andersen and John on the weighted Lorentz spaces with vector-valued functions.

Cite this article

Dao Van Duong, Kieu Huu Dung, Nguyen Minh Chuong, Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces. Z. Anal. Anwend. 39 (2020), no. 4, pp. 433–460

DOI 10.4171/ZAA/1667