ALTERNATIVE CRITERIA FOR BOUNDEDNESS OF ONE CLASS OF MATRIX OPERATORS IN WEIGHTED SPACES OF SEQUENCES
Kalybay A. Temirkhanova A.
June 2025Element D.O.O.
Operators and Matrices
2025#19Issue 2197 - 213 pp.
Characterizations of weighted integral Hardy inequalities identify the weights ensuring the boundedness of the Hardy operator on weighted Lebesgue spaces. This analysis has been extended to the Riemann-Liouville operator and operators satisfying a weaker kernel condition, independently introduced by R. Oinarov [13] and by S. Bloom and R. Kerman [5]. While Oinarov-type characterizations have been extended to the discrete case, Bloom-Kerman-type characterizations, which differ, remain unexplored. This paper establishes these alternative characterizations for the discrete case and extends the results to a broader class of matrix operators, including those satisfying weaker kernel conditions.
and phrases: Hardy-type inequality , boundedness , matrix operator , Oinarov condition , sequence space
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KIMEP University, 4 Abay Avenue, Almaty, 050010, Kazakhstan
L. N. Gumilyov Eurasian National University, 2 Satpaev Street, Astana, 101008, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin Street, Almaty, 050010, Kazakhstan
KIMEP University
L. N. Gumilyov Eurasian National University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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