Properties of Muckenhoupt and Gehring classes via conformable calculus
Volume 29, Issue 3, pp 203--213
https://doi.org/10.22436/jmcs.029.03.01
Publication Date: October 20, 2022
Submission Date: June 07, 2022
Revision Date: July 07, 2022
Accteptance Date: July 29, 2022
Authors
S. H. Saker
- Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
- Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura City, Egypt.
M. A. Darwish
- Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.
H. A. Elshamy
- Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.
Abstract
In this paper, we study the relationship between the Muckenhoupt class \(\mathcal{A}_{1}^{\alpha }(\mathcal{C})\) and the Gehring class \(\mathcal{G}%
_{q}^{\alpha }(\mathcal{K})\) via conformable calculus. We also establish the
constants of the classes for the power law functions.
Share and Cite
ISRP Style
S. H. Saker, M. A. Darwish, H. A. Elshamy, Properties of Muckenhoupt and Gehring classes via conformable calculus, Journal of Mathematics and Computer Science, 29 (2023), no. 3, 203--213
AMA Style
Saker S. H., Darwish M. A., Elshamy H. A., Properties of Muckenhoupt and Gehring classes via conformable calculus. J Math Comput SCI-JM. (2023); 29(3):203--213
Chicago/Turabian Style
Saker, S. H., Darwish, M. A., Elshamy, H. A.. "Properties of Muckenhoupt and Gehring classes via conformable calculus." Journal of Mathematics and Computer Science, 29, no. 3 (2023): 203--213
Keywords
- Conformable Muckenhoupt class
- conformable Gehring class
- Holder's inequality
- reverse Holder's inequality
MSC
- 40D05
- 40D25
- 42C10
- 43A55
- 46A35
- 46B15
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