Sharp inequalities via truncation

6533b82bfe1ef96bd128e0f6

RESEARCH PRODUCT

Sharp inequalities via truncation

subject

Pure mathematics Inequality Truncation media_common.quotation_subject Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Poincaré inequality Sobolev inequality Sobolev space symbols.namesake symbols Analysis Mathematics media_common

description

Abstract We show that Sobolev–Poincare and Trudinger inequalities improve to inequalities on Lorentz-type scales provided they are stable under truncations.

year	journal	country	edition	language
2003-02-01	Journal of Mathematical Analysis and Applications

10.1016/s0022-247x(02)00465-1 http://dx.doi.org/10.1016/S0022-247X(02)00465-1

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