Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces

Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces

*Correspondence: [email protected] College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China Abstract The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integralMβ ,ρ ,q on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling conditions. Under the a...

Parabolic Marcinkiewicz integrals on product spaces

‎In this paper‎, ‎we study the $L^p$ ($1

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In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.

Non-absolutely Convergent Integrals in Metric Spaces

parabolic marcinkiewicz integrals on product spaces

‎in this paper‎, ‎we study the $l^p$ ($1