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Inequalities and pr...
Inequalities and properties of some generalized Orlicz classes and spaces
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- Jain, P. (författare)
- University of Delhi, Department of Mathematics, Deshbandhu College
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- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Uppsala universitet,Tillämpad matematik,Matematiska vetenskaper
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- Upreti, P. (författare)
- University of Delhi, Motilal Nehru College, Department of Mathematics, New Delhi
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(creator_code:org_t)
- 2007-07-10
- 2007
- Engelska.
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Ingår i: Acta Mathematica Hungarica. - : Springer Science and Business Media LLC. - 0236-5294 .- 1588-2632. ; 117:1-2, s. 161-174
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We discuss and complement the knowledge about generalized Orlicz classes and Orlicz spaces X Φ obtained by replacing the space L 1 in the classical construction by an arbitrary Banach function space X. Our main aim is to focus on the task to study inequalities in such spaces. We prove a number of new inequalities and also natural generalizations of some classical ones (e.g., Minkowski’s, Hölder’s and Young’s inequalities). Moreover, a number of other basic facts for further study of inequalities and function spaces are included.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- inequalities
- function spaces
- Orlicz class
- Orlicz space
- Luxemburg norm
- Banach function space
- Young function
- Young’s inequality
- Minkowski’s inequality
- Hölder’s inequality
- MATHEMATICS
- MATEMATIK
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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