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   Higher order sobolev-type spaces on the real line  
   
نویسنده bojarski b. ,kinnunen j. ,zürcher t.
منبع journal of function spaces - 2014 - دوره : 2014 - شماره : 0
چکیده    This paper gives a characterization of sobolev functions on the real line by means of pointwise inequalities involving finite differences. this is also shown to apply to more general orlicz-sobolev,lorentz-sobolev,and lorentz-karamata-sobolev spaces. © 2014 bogdan bojarski et al.
آدرس institute of mathematics,polish academy of sciences, Poland, department of mathematics,school of science and technology,aalto university,p.o. box 11100, Finland, department of mathematics and statistics,university of jyväskylä,p.o. box 35 (mad),jyväskylä,finland,mathematics institute,university of warwick, United Kingdom
 
     
   
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