On limiting embeddings of Besov spaces
From MaRDI portal
Publication:5715390
DOI10.4064/sm171-1-1zbMath1090.46026OpenAlexW2042280101MaRDI QIDQ5715390
Andrei K. Lerner, Viktor I. Kolyada
Publication date: 3 January 2006
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/sm171-1-1
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items (27)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES ⋮ New estimates for the maximal functions and applications ⋮ Characterization of a rearrangement-invariant hull of a Besov space via interpolation ⋮ A note on the fractional perimeter and interpolation ⋮ Quarkonial frames with compression properties ⋮ On the limiting behaviour of some nonlocal seminorms: a new phenomenon ⋮ Some recent developments in the theory of function spaces involving differences ⋮ On some convergence results for fractional periodic Sobolev spaces ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ Limits of Besov norms ⋮ On limiting relations for capacities ⋮ A Bourgain–Brezis–Mironescu characterization of higher order Besov–Nikol^{\prime }skii spaces ⋮ The modulus of smoothness in metric spaces and related problems ⋮ Embeddings, Hardy operators and nonlinear problems ⋮ Characterization of Sobolev and BV spaces ⋮ Regularity of the Monge-Ampère equation in Besov's spaces ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Embedding theorems for Sobolev and Hardy-Sobolev spaces and estimates of Fourier transforms ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Notes on limits of Sobolev spaces and the continuity of interpolation scales ⋮ Limits of higher-order Besov spaces and sharp reiteration theorems ⋮ Asymptotic behaviour of Besov norms via wavelet type basic expansions ⋮ On functions of bounded \(p\)-variation ⋮ Tractable embeddings of Besov spaces into small Lebesgue spaces ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
This page was built for publication: On limiting embeddings of Besov spaces