TY  -  
T1  - Pointwise estimates to the modified Riesz potential 
SN  -  /  
UR  - http://hdl.handle.net/10138/307540 
T3  -  
A1  - Harjulehto, Petteri; Hurri-Syrjänen, Ritva 
A2  -  
PB  -  
Y1  - 2018 
LA  - eng 
AB  - In a smooth domain a function can be estimated pointwise by the classical Riesz potential of its gradient. Combining this estimate with the boundedness of the classical Riesz potential yields the optimal Sobolev-Poincar, inequality. We show that this method gives a Sobolev-Poincar, inequality also for irregular domains whenever we use the modified Riesz potential which arise naturally from the geometry of the domain. The exponent of the Sobolev-Poincar, inequality depends on the domain. The Sobo... 
VO  -  
IS  -  
SP  -  
OP  -  
KW  - 111 Mathematics; IRREGULAR DOMAINS; ORLICZ SPACES; INEQUALITY; EXTENSION; OPERATORS 
N1  -   
PP  -  
ER  -