matmessМатематические заметки СВФУMathematical notes of NEFU2411-93262587-876XСеверо-Восточный федеральный университет имени М.К. Аммосова10.25587/SVFU.2023.38.57.006matmess-179Research ArticleМАТЕМАТИКАON SOME NEW UNIFORM ESTIMATES AND MAXIMAL THEOREMS FOR Hp SPACESShamoyanR. F.

Shamoyan Romi F.

Department of Mathematics,

Bryansk State Technical University,

7 50-letiya Oktyabrya Boulevard, Bryansk 241035, Russia 

rsham@mail.ruDepartment of Mathematics, Bryansk State Technical UniversityRussian Federation2022250320262947377Copyright © Shamoyan R.F., 20262026Shamoyan R.F.Shamoyan R.F.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://matmess.elpub.ru/jour/article/view/179

Abstract: We obtain some new uniform estimates and maximal theorems in classical Hardy spaces in the unit disk related with the Bergman projection, thus extending some previously well-known inequalities on Hardy spaces. 

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The authors declare that there are no conflicts of interest present.