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1.
11 p, 159.4 KB A stability result on Muckenhoupt's weights / Kinnunen, Juha
We prove that Muckenhoupt's A1-weights satisfy a reverse HÄolder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A1-weights.
1998 - 10.5565/PUBLMAT_42198_08
Publicacions matemàtiques, V. 42 n. 1 (1998) p. 153-163  
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2.
16 p, 142.6 KB Differentiation bases for Sobolev functions on metric spaces / Harjulehto, Petteri ; Kinnunen, Juha
We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.
2004 - 10.5565/PUBLMAT_48204_05
Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 381-395  
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