On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation

On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation

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...

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Veröffentlicht in:Symmetry (Basel) 2023-10, Vol.15 (10), p.1814
Hauptverfasser: Al-Qassem, Hussain, Ali, Mohammed
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Sprache:eng
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Euclidean space
Extrapolation
Inequality
Integrals
Kernel functions
Theorems
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description 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. Our results represent natural extensions and improvements of several known results on Marcinkiewicz integrals.
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subjects Euclidean space
Extrapolation
Inequality
Integrals
Kernel functions
Theorems
title On the Functions of Marcinkiewicz Integrals along Surfaces of Revolution on Product Domains via Extrapolation
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