6533b870fe1ef96bd12cfb5b

RESEARCH PRODUCT

Pointwise characterizations of Hardy-Sobolev functions

Eero SaksmanPekka Koskela

subject

PointwiseMathematics::Functional Analysis42B30 (Primary) 26D15General Mathematics42B25 (Secondary)010102 general mathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEs01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsSobolev spaceCombinatoricsNull setType conditionMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: Mathematics46E35Locally integrable function0101 mathematics46E35; 42B30 (Primary) 26D15; 42B25 (Secondary)Mathematics

description

We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)<p <=1. In addition, classical Hardy inequalities are extended to the case p <= 1.

yearjournalcountryeditionlanguage
2006-11-29
https://dx.doi.org/10.48550/arxiv.math/0611901