An Extension of Hedberg’s Convolution Inequality and Applications

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Shahi, Amir | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42200 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Ranjbar Motlagh, Alireza
Abstract:
HAedbbergshtasrpraovecdtthefolowinginequalityforany1pnof;nandpIsuchft(xa)tCkfkpnp(Mf(x)1np .8Tfh2erLepe(xRisnt)saCindependent fHwuhhenedecrSbteioeobrnIgo'losefvinffie.nqieusqautlhiatleyityhReefloipsrsztihpneodtReenaeltiisinazglpwooftitefhntpaiarnlod,bil.Meem.fsrdeelnatoitnegtuhseinHgatrhdeyf-uLnitcttlieowno.ofodrmexaaxmimpalel SwohbeorelevCiniseqinudaeliptyencdaenntbeofexft,racactnkeIdbefrdofmekdnuHnspeepddbferroCgm'ksfHinepedqbuearlgit'ys.iHneeqrueawlietyw.iAllgseontehraeliczleasHsiecda-l berg'sinequalitytoOrliczspaces.
Keywords:
Rearrangement-Invariant Banach Function Space ; Orlicz Spaces ; Hedberg Inequality

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