Work

Wolff Potential and Birkhoff's Ergodic Theorem in Grand Variable Herz Spaces

Year: 2026

Type: article

Abstract: In this article, we establish the boundedness of the Wolff potential operator and Birkhoff's ergodic theorem in grand variable Herz spaces. These concepts were previously studied in the setting of Lebesgue spaces. Our results extend and refine the existing literature by considering a more general functional framework, thereby providing broader applicability and sharper estimates than the previously known results.

Source: Gulf Journal of Mathematics

DOI: 10.56947/51vxdc48

Authors: Rosalio G. Artes Jr., Waqar Afzal, Samra Asjad, Muhammad Tariq, Hijaz Ahmad

Institutions: Universiti Sains Malaysia, Mindanao State University - Tawi-Tawi College of Technology and Oceanography, Khazar University, Government College University, Lahore, University of Alabama at Birmingham, Near East University, Korea University, VIZJA University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7169772395

FWCI: 15.22

Cites: 17

Cited by: 7

Related to: 10