The problem of traces for Sobolev spaces with Muckenhoupt-type weights

DOI10.1134/S0001434613110084zbMath1295.46026OpenAlexW1991493920MaRDI QIDQ2439979

Alexander Tyulenev

Publication date: 26 March 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613110084

zbMATH Keywords

weighted Sobolev spaceHölder's inequalityMinkowski inequalityweighted Besov-type spacesMuckenhoupt-type weighttrace of a function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions ⋮ On limits at infinity of weighted Sobolev functions ⋮ Traces of weighted Sobolev spaces with Muckenhoupt weight. The case \(p=1\) ⋮ Analysis of a diffuse interface method for the Stokes-Darcy coupled problem ⋮ Description of traces of functions in the Sobolev space with a Muckenhoupt weight ⋮ A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures ⋮ Well posedness and regularity for heat equation with the initial condition in weighted Orlicz-Slobodetskii space subordinated to Orlicz space like \(\lambda (\log\lambda )^\alpha\) and the logarithmic weight

Cites Work

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• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Description of traces of the functions whose derivatives are bounded with certain weights
• On the trace space of Sobolev space with a radial weight
• On trace spaces of function spaces with a radial weight: the atomic approach

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