Weighted Lebesgue and central Morrey estimates for $p$-adic multilinear Hausdorff operators and its commutators
Анотація
УДК 517.9
Зваженi оцiнки для $p$ -адичних багатолiнiйних Хаусдорфових операторiв та їх комутаторiв на просторах Лебега та центральних просторах Моррi
Встановлено точну обмеженість $p$-адичних багатолінійних гаусдорфових операторів на добутку просторів Лебега і центральних просторів Моррі, асоційованих як з вагами степенів, так і з вагами Макенхаупта. Також доведено обмеженість комутаторів $p$-адичних багатолінійних гаусдорфових операторів на таких просторах із символами в центральному BMO-просторі.
Посилання
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