Next Article in Journal
Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations
Previous Article in Journal
A Non-Newtonian Magnetohydrodynamics (MHD) Nanofluid Flow and Heat Transfer with Nonlinear Slip and Temperature Jump
Open AccessArticle

Generalized Parabolic Marcinkiewicz Integral Operators Related to Surfaces of Revolution

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1200; https://doi.org/10.3390/math7121200
Received: 31 October 2019 / Revised: 26 November 2019 / Accepted: 4 December 2019 / Published: 7 December 2019
In this work, the generalized parametric Marcinkiewicz integral operators with mixed homogeneity related to surfaces of revolution are studied. Under some weak conditions on the kernels, the boundedness of such operators from Triebel–Lizorkin spaces to L p spaces are established. Our results, with the help of an extrapolation argument, improve and extend some previous known results. View Full-Text
Keywords: parabolic Marcinkiewicz integrals; rough kernels; Triebel–Lizorkin spaces; Lp boundedness; extrapolation parabolic Marcinkiewicz integrals; rough kernels; Triebel–Lizorkin spaces; Lp boundedness; extrapolation
MDPI and ACS Style

Darweesh, A.; Ali, M. Generalized Parabolic Marcinkiewicz Integral Operators Related to Surfaces of Revolution. Mathematics 2019, 7, 1200.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop