A Note about Young’s Inequality with Different Measures
The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's i...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/4672957 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551216694951936 |
|---|---|
| author | Saba Mehmood Eridani Eridani Fatmawati Fatmawati |
| author_facet | Saba Mehmood Eridani Eridani Fatmawati Fatmawati |
| author_sort | Saba Mehmood |
| collection | DOAJ |
| description | The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's inequality, and Minköwski’s inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures. |
| format | Article |
| id | doaj-art-cfcf6fc334b64712a89d9df9bc8c13cc |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cfcf6fc334b64712a89d9df9bc8c13cc2025-02-03T06:04:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/4672957A Note about Young’s Inequality with Different MeasuresSaba Mehmood0Eridani Eridani1Fatmawati Fatmawati2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's inequality, and Minköwski’s inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.http://dx.doi.org/10.1155/2022/4672957 |
| spellingShingle | Saba Mehmood Eridani Eridani Fatmawati Fatmawati A Note about Young’s Inequality with Different Measures International Journal of Mathematics and Mathematical Sciences |
| title | A Note about Young’s Inequality with Different Measures |
| title_full | A Note about Young’s Inequality with Different Measures |
| title_fullStr | A Note about Young’s Inequality with Different Measures |
| title_full_unstemmed | A Note about Young’s Inequality with Different Measures |
| title_short | A Note about Young’s Inequality with Different Measures |
| title_sort | note about young s inequality with different measures |
| url | http://dx.doi.org/10.1155/2022/4672957 |
| work_keys_str_mv | AT sabamehmood anoteaboutyoungsinequalitywithdifferentmeasures AT eridanieridani anoteaboutyoungsinequalitywithdifferentmeasures AT fatmawatifatmawati anoteaboutyoungsinequalitywithdifferentmeasures AT sabamehmood noteaboutyoungsinequalitywithdifferentmeasures AT eridanieridani noteaboutyoungsinequalitywithdifferentmeasures AT fatmawatifatmawati noteaboutyoungsinequalitywithdifferentmeasures |