Weighted Hardy Operators in Grand Lebesgue Spaces on ℝn

Weighted Hardy Operators in Grand Lebesgue Spaces on ℝn

We obtain p → q estimates for a weighted Hardy operator and its formal dual in grand Lebesgue spaces over ℝ n . In the case of power weights, we obtain sufficient conditions for the validity of such estimates and evaluate the constants in the obtained estimates.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.268 (4), p.509-522
Hauptverfasser: Samko, S. G., Umarkhadzhiev, S. M.
Format: Artikel
Sprache:eng
Schlagworte:
Estimates
Mathematics
Mathematics and Statistics
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Zusammenfassung:We obtain p → q estimates for a weighted Hardy operator and its formal dual in grand Lebesgue spaces over ℝ n . In the case of power weights, we obtain sufficient conditions for the validity of such estimates and evaluate the constants in the obtained estimates.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06208-w