Littlewood–Paley–Rubio de Francia inequality for the Walsh system

Autor: Nikolay N. Osipov

Publikováno v: St. Petersburg Mathematical Journal. 28:719-726

Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in $L^p$, $2 \le p < \infty$. In this article, such an inequality is proved for the Walsh system.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c7f9e17ae4d4fb6e22f545f01847d9fb
https://doi.org/10.1090/spmj/1469

Bellman function for extremal problems in BMO

Autor: Paata Ivanisvili, Vasily Vasyunin, Dmitriy M. Stolyarov, Nikolay N. Osipov, Pavel B. Zatitskiy

Publikováno v: Transactions of the American Mathematical Society. 368:3415-3468

In this paper we develop the method of finding sharp estimates by using a Bellman function. In such a form the method appears in the proofs of the classical John--Nirenberg inequality and $L^p$ estimations of BMO functions. In the present paper we el

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3ae5461a75697324f97eb2d8a7f31c7
https://doi.org/10.1090/tran/6460

The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces

Autor: Nikolay N. Osipov

Publikováno v: Sbornik: Mathematics. 205:1004-1023

Rubio de Francia proved the one-sided Littlewood–Paley inequality for arbitrary intervals in L p , 2 ≤ p < ∞. In this article, his methods are developed and employed to prove an analogue of such an inequality

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f41aa60fbae5c75ca4f3756d4fd3b101
https://doi.org/10.1070/sm2014v205n07abeh004407

Differential Diagnosis of Tuberculosis and Sarcoidosis by Immunological Features Using Machine Learning.

Autor: Osipov N; Department of Mathematics and Computer Science, St. Petersburg State University, 199034 St. Petersburg, Russia.; Almazov National Medical Research Centre, 197341 St. Petersburg, Russia.; St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, 191023 St. Petersburg, Russia., Kudryavtsev I; Almazov National Medical Research Centre, 197341 St. Petersburg, Russia.; Department of Immunology, Institution of Experimental Medicine, 197376 St. Petersburg, Russia., Spelnikov D; Department of Mathematics and Computer Science, St. Petersburg State University, 199034 St. Petersburg, Russia., Rubinstein A; Almazov National Medical Research Centre, 197341 St. Petersburg, Russia.; Department of Immunology, Institution of Experimental Medicine, 197376 St. Petersburg, Russia., Belyaeva E; Department of Mathematics and Computer Science, St. Petersburg State University, 199034 St. Petersburg, Russia., Kulpina A; Department of Mathematics and Computer Science, St. Petersburg State University, 199034 St. Petersburg, Russia.; Almazov National Medical Research Centre, 197341 St. Petersburg, Russia., Kudlay D; Department of Pharmacology, Institute of Pharmacy, I.M. Sechenov First Moscow State Medical University, 119991 Moscow, Russia.; Institute of Immunology, 115478 Moscow, Russia.; Department of Pharmacognosy and Industrial Pharmacy, Faculty of Fundamental Medicine, Lomonosov Moscow State University, 119991 Moscow, Russia., Starshinova A; Department of Mathematics and Computer Science, St. Petersburg State University, 199034 St. Petersburg, Russia.; Almazov National Medical Research Centre, 197341 St. Petersburg, Russia.

Publikováno v: Diagnostics (Basel, Switzerland) [Diagnostics (Basel)] 2024 Sep 30; Vol. 14 (19). Date of Electronic Publication: 2024 Sep 30.

Assessment of Comorbidity in Patients with Drug-Resistant Tuberculosis.

Autor: Starshinova A; Almazov National Medical Research Centre, 197341 Saint-Petersburg, Russia., Nazarenko M; Russia Pushkin TB Healthcare Dispensary, 196602 Pushkin, Russia.; Scientific Research Institute of Phthisiopulmonology, 194064 Saint-Petersburg, Russia., Belyaeva E; Republic TB Healthcare Dispensary, 185032 Petrozavodsk, Russia., Chuzhov A; Interdistrict Petrograd-Primorsky TB Dispensary N. 3, 197343 Saint-Petersburg, Russia., Osipov N; St. Petersburg State University, 199034 St. Petersburg, Russia.; Steklov Mathematical Institute of Russian Academy of Sciences, 191023 Saint-Petersburg, Russia., Kudlay D; Immunology Department, I.M. Sechenov First Moscow State Medical University, 197022 Moscow, Russia.; Institute of Immunology FMBA of Russia, 115478 Moscow, Russia.

Publikováno v: Pathogens (Basel, Switzerland) [Pathogens] 2023 Nov 27; Vol. 12 (12). Date of Electronic Publication: 2023 Nov 27.