Browsing Mathematics, Statistics & Physics by Subject "extrapolation"
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A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution
( MDPI , 2022 , Article)In this article, certain sharp Lp estimates for a specific class of generalized Marcinkiewicz operators with mixed homogeneity associated to surfaces of revolution are established. By virtue of Yano’s extrapolation ... -
A Note on Parabolic Maximal Operators along Surfaces of Revolution via Extrapolation
( MDPI , 2022 , Article)Under weak conditions on the kernels, we obtain sharp Lp bounds for rough parabolic maximal integral operators over surfaces of revolution. By virtue of these bounds along with Yano’s extrapolation argument, we confirm the ... -
On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces
( springer link , 2011 , Article)We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase. By using these bounds and using an extrapolation argument we obtain some new and previously known results ...