lp estimate
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Filomat ◽  
2018 ◽  
Vol 32 (4) ◽  
pp. 1429-1437
Author(s):  
Hong Tian ◽  
Shenzhou Zheng

Making use of an elementary approach instead of the weighted Lp estimate with a special weight, we prove global Morrey estimates of the weak derivatives to the Dirichlet problems of linear elliptic equations with small partially BMO coefficients in a half space. Here, the leading coefficients aij(x) are assumed to be merely measurable in one variable, and have small BMO in the remaining spatial variables.


2003 ◽  
Vol 337 (5) ◽  
pp. 365-370
Author(s):  
Gang Bao ◽  
Aurelia Minut ◽  
Zhengfang Zhou

Fractals ◽  
2000 ◽  
Vol 08 (01) ◽  
pp. 73-83
Author(s):  
TOMOHIRO MATSUOKA ◽  
TOSHIHIDE UENO ◽  
TAKASHI ADACHI ◽  
MASAMI OKADA

Data with power law distributions are studied by a scaling argument. Then related weak lp sequences are characterized. As an application we can show in a transparent way that the wavelet de-noising theory holds under a mild assumption which is given by means of weak lp (quasi-)norms.


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