Lindelöf theorems for monotone Sobolev functions in Orlicz spaces on uniform domains

2018 ◽  
Vol 292 (4) ◽  
pp. 793-804
Author(s):  
Toshihide Futamura ◽  
Tetsu Shimomura
Keyword(s):  
Orlicz Spaces ◽  
Sobolev Functions ◽  
Uniform Domains ◽  
Monotone Sobolev Functions

scholarly journals Lindelöf theorems for monotone Sobolev functions in Orlicz spaces

2013 ◽  
Vol 57 (4) ◽  
pp. 1025-1033 ◽  
Author(s):  
Fausto Di Biase ◽  
Toshihide Futamura ◽  
Tetsu Shimomura
Keyword(s):  
Orlicz Spaces ◽  
Sobolev Functions ◽  
Monotone Sobolev Functions

scholarly journals Sharp Exponential Integrability for Traces of Monotone Sobolev Functions

2008 ◽  
Vol 192 ◽  
pp. 137-149 ◽  
Author(s):  
Pekka Pankka ◽  
Pietro Poggi-Corradini ◽  
Kai Rajala
Keyword(s):  
Unit Ball ◽  
Exponential Integrability ◽  
Geometric Methods ◽  
Sobolev Functions ◽  
Integrability Of Functions ◽  
Monotone Sobolev Functions

AbstractWe answer a question posed in [12] on exponential integrability of functions of restricted n-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.

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