Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
Copyright policy )Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
- Université Catholique de Louvain Belgium
General Mathematics, Interpolation between normed linear spaces, Inequalities involving derivatives and differential and integral operators, 26D10 (Primary) 35A23, 42B35, 46B70, 46E35 (Secondary), Mathematics - Classical Analysis and ODEs, Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Function spaces arising in harmonic analysis, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics
General Mathematics, Interpolation between normed linear spaces, Inequalities involving derivatives and differential and integral operators, 26D10 (Primary) 35A23, 42B35, 46B70, 46E35 (Secondary), Mathematics - Classical Analysis and ODEs, Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Function spaces arising in harmonic analysis, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics
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