MULTIDIMENSIONAL REVERSE HÖLDER INEQUALITY ON TIME SCALES

H. M. Rezk; Ghada ALNemer; Ahmed I. Saied; E. Awwad; M. Zakarya

doi:10.11948/20220092

2023 Volume 13 Issue 1

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H. M. Rezk, Ghada ALNemer, Ahmed I. Saied, E. Awwad, M. Zakarya. MULTIDIMENSIONAL REVERSE HÖLDER INEQUALITY ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 298-312. doi: 10.11948/20220092

Citation:

H. M. Rezk, Ghada ALNemer, Ahmed I. Saied, E. Awwad, M. Zakarya. MULTIDIMENSIONAL REVERSE HÖLDER INEQUALITY ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 298-312. doi: 10.11948/20220092

MULTIDIMENSIONAL REVERSE HÖLDER INEQUALITY ON TIME SCALES

1.
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt
2.
Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
3.
Department of Mathematics, Faculty of Science, Benha University, Benha, 13518, Egypt
4.
Department of Mathematics, College of Science and Arts,Jouf University, Gurayat, Saudi Arabia
5.
King Khalid University, College of Science, Department of Mathematics, P.O. Box 9004, 61413. Abha, Saudi Arabia
6.
Department of Mathematics, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt

Author Bio: haythamrezk@azhar.edu.eg(H.M. Rezk); gnnemer@pnu.edu.sa(G. ALNemer); as0863289@gmail.com(A. I. Saied)
Corresponding author: mzibrahim@kku.edu.sa (M. Zakarya)

Abstract

Abstract

This paper develops the study of Hölder's inequality with weighted functions where we can establish some new multidimensional reverse Hölder inequality on time scale measure spaces. Our results will be proved by using the definition and some properties of a Specht's ratio function. We will prove these inequalities in a time scale calculus to avoid proving them twice once in the continuous case and the second in the discrete case.
- Hölder's inequality /
- multidimensional reverse Hölder inequality /
- time scale measure spaces /
- weight functions
MSC: 26D15, 34N05, 47B38

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References

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