WEIGHTED INEQUALITIES FOR THE TRACES OF FUNCTIONS REPRESENTED BY THE RIESZ GENERALIZED POTENTIALS


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Authors

  • Bahruz Agarzayev Azerbaijan State Maritime Academy, Baku, Azerbaijan
  • Gulnar Mirzayeva Academy of Public Administration under the President of the Republic of Azerbaijan
  • Aynur Abdullayeva Azerbaijan State Maritime Academy, Baku, Azerbaijan
  • Gojayeva Khadija Azerbaijan State Pedagogical University, Baku, Azerbaijan
  • Bagirova Sabira The Academy of Republic Administration under the President of the Republic of Azerbaijan

Keywords:

Generalized Riesz potential, weight spaces, locally summable function, function trace, harmonic analysis.

Abstract

The theory of potentials has wide applications in singular integral operators and harmonic analysis. In this context, the Riesz potential inclusion theorems play an important role. Generalized Riesz potentials associated with the Laplace-Bessel differential operator are studied. The article investigates the properties of functions given in the form of these potentials. Local integral characteristics are used in the terms, and inequalities are established based on evaluations made in these terms. The weight functions used in the inequalities are treated as if they are monotonic functions. The obtained results are also true for classical harmonic analysis.

References

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Published

2024-06-03

How to Cite

Bahruz Agarzayev, Mirzayeva, G., Aynur Abdullayeva, Gojayeva Khadija, & Bagirova Sabira. (2024). WEIGHTED INEQUALITIES FOR THE TRACES OF FUNCTIONS REPRESENTED BY THE RIESZ GENERALIZED POTENTIALS. Results in Nonlinear Analysis, 7(2), 154–159. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/366

Issue

Vol. 7 No. 2 (2024): volume 7 issue 2

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Articles

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