Some scales of equivalent conditions to characterize the Stieltjes inequality: The case q < p

We prove that the weighted Stieltjes inequality, can be characterized by four different scales of conditions also for the case 0 < q < p < ∞, 1

Авторы
Gogatishvili A. 1 , Persson L.-E. 2, 3 , Stepanov V.D. 4 , Wall P. 2
Journal
Mathematische Nachrichten
Издательство
Wiley-VCH Verlag
Номер выпуска
2-3
Язык
English
Страницы
242-253
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.1002/MANA.201200118
Том
287
Год
2014
Организации
  • 1 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic
  • 2 Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden
  • 3 Narvik University College, P. O. Box 385, N 8505 Narvik, Norway
  • 4 Department of Mathematical Analysis, Peoples' Friendship University of Russia, Miklukho-Maklai 6, Moscow 117198, Russian Federation
Ключевые слова
Gluing of conditions; Integral inequalities; Scales of equivalents conditions; Stieltjes inequality; Stieltjes transform; Weights
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