On relations between moduli of continuity in different metrics
From MaRDI portal
Publication:753050
zbMath0716.41018MaRDI QIDQ753050
Publication date: 1989
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by other special function classes (41A30) Proper holomorphic mappings, finiteness theorems (32H35)
Related Items (20)
Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics ⋮ Interrelations between full moduli of smoothness in the metrics of \(L_1\) and \(L_\infty\) ⋮ Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients ⋮ EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES ⋮ Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients ⋮ Interrelations between mixed moduli of smoothness in metrics of \(L_p\) and \(L_\infty\) ⋮ Sharp Ul'yanov-type inequalities using fractional smoothness ⋮ Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \) ⋮ The direct theorem of the theory of approximation of periodic functions with monotone Fourier coefficients in different metrics ⋮ ORDER EQUALITIES IN DIFFERENT METRICS FOR MODULI OF SMOOTHNESS OF VARIOUS ORDERS ⋮ On Gagliardo-Nirenberg type inequalities ⋮ Embedding theorems for Sobolev and Hardy-Sobolev spaces and estimates of Fourier transforms ⋮ Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\) ⋮ Estimates of maximal functions measuring local smoothness ⋮ Relations between moduli of smoothness in different metrics ⋮ On functions of bounded \(p\)-variation ⋮ A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\) ⋮ On the embedding of BV space into Besov-Orlicz space ⋮ Kolyada inequality between mixed moduli of smoothness in metrics \(L_p\) and \(L_{\infty} \)
This page was built for publication: On relations between moduli of continuity in different metrics
