Research Article

Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$

Number: 40 September 30, 2022
EN

Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$

Abstract

The theory of boundedness of classical operators of real analyses on Morrey spaces defined on Carleson curves has made significant progress in recent years as it allows for various applications. This study obtains new estimates about the boundedness of the maximal commutator operator $M_b$ and the commutator of the maximal function $[M, b]$ in Morrey spaces defined on Carleson curves.

Keywords

References

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  2. V. S. Guliyev, K. Rahimova, Parabolic Fractional Integral Operator in Modified Parabolic Morrey Spaces, Proceedings Razmadze Mathematical Institute 163 (2013) 85-106.
  3. V. Guliyev, H. Armutcu, T. Azeroglu, Characterizations for the Potential Operators on Carleson Curves in Local Generalized Morrey Spaces, Open Mathematics 18 (1) (2020), 1317-1331.
  4. C. B. Morrey, On the Solutions of Quasi-Linear Elliptic Partial Differential Equations, Transactions of the American Mathematical Society 43 (1938) 126-166.
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  6. A. Böttcher, Y. I. Karlovich, Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators, 15, Springer Science Business Media, 1997.
  7. I. B. Dadashova, C. Aykol, Z. Cakir, A. Serbetci, Potential Operators in Modified Morrey Spaces Defined on Carleson Curves, Transactions of A. Razmadze Mathematical Institute 172 (1) (2018) 15-29.
  8. J. I Mamedkhanov, I. B. Dadashova, Some Properties of the Potential Operators in Morrey Spaces Defined on Carleson Curves, Complex Variables and Elliptic Equations 55 (8-10) (2010) 937-945.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

August 16, 2022

Acceptance Date

September 30, 2022

Published in Issue

Year 2022 Number: 40

APA
Türkay, M. E. (2022). Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$. Journal of New Theory, 40, 74-81. https://doi.org/10.53570/jnt.1162966
AMA
1.Türkay ME. Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$. JNT. 2022;(40):74-81. doi:10.53570/jnt.1162966
Chicago
Türkay, Merve Esra. 2022. “Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$”. Journal of New Theory, nos. 40: 74-81. https://doi.org/10.53570/jnt.1162966.
EndNote
Türkay ME (September 1, 2022) Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$. Journal of New Theory 40 74–81.
IEEE
[1]M. E. Türkay, “Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$”, JNT, no. 40, pp. 74–81, Sept. 2022, doi: 10.53570/jnt.1162966.
ISNAD
Türkay, Merve Esra. “Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$”. Journal of New Theory. 40 (September 1, 2022): 74-81. https://doi.org/10.53570/jnt.1162966.
JAMA
1.Türkay ME. Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$. JNT. 2022;:74–81.
MLA
Türkay, Merve Esra. “Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$”. Journal of New Theory, no. 40, Sept. 2022, pp. 74-81, doi:10.53570/jnt.1162966.
Vancouver
1.Merve Esra Türkay. Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$. JNT. 2022 Sep. 1;(40):74-81. doi:10.53570/jnt.1162966

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