Weighted Estimates of the Weyl-Type Operator and Its Compactness

Abylayeva A. Otegen A.
June 2025 John Wiley and Sons Ltd

Mathematical Methods in the Applied Sciences
2025 #48 Issue 9 9676 - 9683 pp.

In this paper, the results of the necessity and sufficiency conditions of the fact that the operator (Formula presented.) for the case (Formula presented.) is bounded and compact from the weighted Lebesgue space (Formula presented.) to weighted Lebesgue space (Formula presented.) are obtained, where (Formula presented.) is the set of all measurable functions (Formula presented.) in the interval (Formula presented.), which the norm is finite: (Formula presented.).

boundedness , compactness , Helders inequality , Jensens inequality , logarithmic singularity , weight function

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Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan

Department of Fundamental Mathematics

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