scholarly journals Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces

2016 ◽  
Vol 270 (7) ◽  
pp. 2653-2690 ◽  
Author(s):  
Vít Musil
Keyword(s):  
Marcinkiewicz Spaces ◽  
Sobolev Embeddings

scholarly journals Banach–Saks property in Marcinkiewicz spaces

2007 ◽  
Vol 336 (2) ◽  
pp. 1231-1258 ◽  
Author(s):  
S.V. Astashkin ◽  
F.A. Sukochev
Keyword(s):  
Marcinkiewicz Spaces

Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents

2011 ◽  
Vol 56 (7-9) ◽  
pp. 671-695 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Takao Ohno ◽  
Tetsu Shimomura
Keyword(s):  
Morrey Spaces ◽  
Variable Exponents ◽  
Riesz Potentials ◽  
Sobolev Embeddings

scholarly journals The sobolev embeddings are usually sharp

2005 ◽  
Vol 2005 (4) ◽  
pp. 437-448 ◽  
Author(s):  
A. Fraysse ◽  
S. Jaffard
Keyword(s):  
Sobolev Space ◽  
Besov Space ◽  
Hölder Regularity ◽  
Sobolev Embeddings ◽  
Residual Sets ◽  
Holder Regularity

Letx0∈ℝd; we study the Hölder regularity atx0of a generic function of the Sobolev spaceLp,s(ℝd)and of the Besov spaceBps,q(ℝd)fors−d/p>0. The setting for genericity is supplied here by HP-residual sets.

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