Searched for: subject%3A%22Triebel%255C-Lizorkin%22
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Lindemulder, N. (author)
This thesis is concerned with the maximal regularity problem for parabolic boundary value problems with inhomogeneous boundary conditions in the setting of weighted function spaces and related function space theoretic problems.<br/>This in particularly includes weighted $L_{q}$-$L_{p}$-maximal regularity but also weighted $L_{q}$-maximal...
doctoral thesis 2019
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Lindemulder, N. (author)
In this paper, we establish weighted L<sup>q</sup>–L<sup>p</sup>-maximal regularity for linear vector-valued parabolic initial-boundary value problems with inhomogeneous boundary conditions of static type. The weights we consider are power weights in time and in space, and yield flexibility in the optimal regularity of the initial-boundary...
journal article 2019
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Lindemulder, N. (author)
We study the pointwise multiplier property of the characteristic function of the half-space on weighted mixed-norm anisotropic vector-valued function spaces of Bessel potential and Triebel–Lizorkin type.
journal article 2022
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Agresti, Antonio (author), Lindemulder, N. (author), Veraar, M.C. (author)
In this paper, we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity...
journal article 2023
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Koppensteiner, Sarah (author), van Velthoven, J.T. (author), Voigtlaender, Felix (author)
This paper provides maximal function characterizations of anisotropic Triebel–Lizorkin spaces associated to general expansive matrices for the full range of parameters p∈ (0 , ∞) , q∈ (0 , ∞] and α∈ R. The equivalent norm is defined in terms of the decay of wavelet coefficients, quantified by a Peetre-type space over a one-parameter dilation...
journal article 2023
document
Koppensteiner, Sarah (author), van Velthoven, J.T. (author), Voigtlaender, Felix (author)
Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces F˙p,qα for the endpoint case of p= ∞ and the full scale of parameters α∈ R and q∈ (0 , ∞]. In particular, a Peetre-type characterization of the anisotropic Besov space B˙∞,∞α=F˙∞,∞α is obtained. As a consequence, it is shown that...
journal article 2023
Searched for: subject%3A%22Triebel%255C-Lizorkin%22
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