Results 201 to 210 of about 1,651 (223)
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On the Boundedness of the Hilbert Transform from Weighted Sobolev Space to Weighted Lebesgue Space
Journal of Fourier Analysis and Applications, 2022Vladimir D Stepanov
exaly
On a weighted Sobolev embedding on the upper half-space in a borderline case
Annali Di Matematica Pura Ed Applicata, 2022Everáldo Medeiros
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Interpolation of weighted Sobolev spaces
2000Let \(\Omega\) be a domain of the space \(\mathbb R^n\), let \(\omega(x)\) and \(\{\omega_\alpha(x)\}\) be positive continuous functions on \(\Omega\), and let \(H^m_{p\psi}(\Omega)\) and \(L_{p,\omega}(\Omega)\) be weighted spaces with the respective norms \[ \begin{gathered} \|u\|_{H^m_{p,\psi}(\Omega)}= \left(\sum_{|\alpha|\leq m}\omega_\alpha(x)|D^\
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Weighted Sobolev spaces and capacity
1994The author considers the connection between a capacity and the pointwise definition in Sobolev spaces involving \(A_ p\)-class weights. He shows that Sobolev functions possess Lebesgue points quasi everywhere with respect to an appropriate capacity.
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The behavior of the laplacian on weighted sobolev spaces
Communications on Pure and Applied Mathematics, 1979openaire +1 more source
On a sharp weighted Sobolev inequality on the upper half-space and its applications
SN Partial Differential Equations and Applications, 2022Jianjun Zhang, Everáldo Medeiros
exaly
A Trudinger–Moser inequality in a weighted Sobolev space and applications
Mathematische Nachrichten, 2014Marcelo F Furtado +2 more
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