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A duality principle in weighted Sobolev spaces on the real line
Author(s) -
Eveson Simon P.,
Stepanov Vladimir D.,
Ushakova Elena P.
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400019
Subject(s) - mathematics , lp space , duality (order theory) , real line , sobolev space , embedding , pure mathematics , lebesgue integration , sobolev inequality , type (biology) , mathematical analysis , banach space , ecology , artificial intelligence , computer science , biology
An embedding inequality of Sobolev type is characterized in the paper with help of a duality principle and boundedness criteria for the Hardy–Steklov integral operator in weighted Lebesgue spaces.