Al-Qassem, H.; Ali, M. On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation. Symmetry2023, 15, 1814.
Al-Qassem, H.; Ali, M. On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation. Symmetry 2023, 15, 1814.
Al-Qassem, H.; Ali, M. On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation. Symmetry2023, 15, 1814.
Al-Qassem, H.; Ali, M. On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation. Symmetry 2023, 15, 1814.
Abstract
In this paper, we establish certain Lp bounds for several classes of rough Marcinkiewicz integrals over surfaces of revolution on product spaces. By using these bounds and using an extrapolation argument, we obtain the Lp boundedness of these Marcinkiewicz integrals under very weak conditions on the kernel functions. Several previous results on Marcinkiewicz operators are essentially extended or improved. Our results represent natural extensions and improvements of several known results on Marcinkiewicz integrals over symmetric spaces.
Keywords
rough integrals; surfaces of revolution; product domains; Marcinkiewicz integrals; extrapolation
Subject
Computer Science and Mathematics, Analysis
Copyright:
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