Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Nick Lindemulder"'
Publikováno v:
Mathematische Nachrichten
Mathematische Nachrichten, 296(4)
Mathematische Nachrichten, 296(4)
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 w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d74bc2e1224941a481f5e2dc2b7f8df
https://doi.org/10.1002/mana.202100192
https://doi.org/10.1002/mana.202100192
Autor:
Nick Lindemulder
Publikováno v:
Indagationes Mathematicae. 33(4)
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.
15 pages
15 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af6f1225d751ce3c1134baca9ff12ff3
https://doi.org/10.1016/j.indag.2022.03.002
https://doi.org/10.1016/j.indag.2022.03.002
Autor:
Nick Lindemulder, Emiel Lorist
Publikováno v:
Banach Journal of Mathematical Analysis, 16(1)
Banach journal of mathematical analysis, 16 (1), Art.Nr. 7
Banach journal of mathematical analysis, 16 (1), Art.Nr. 7
We prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex formulation, we prove Stein interpolation for the real interpolation metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::410f189c5a980ccf2a5e9d574fd895ab
Autor:
Mark Veraar, Nick Lindemulder
Publikováno v:
Journal of Differential Equations, 269(7)
Journal of differential equations, 269 (7), 5832-5899
Journal of differential equations, 269 (7), 5832-5899
In this paper we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded $H^\infty$-calculus on weighted $L^p$-spaces for power weights which fall outside the classical class of $A_p$-weight
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df6a7f357b9dabddbd0f5cceed74ed55
http://resolver.tudelft.nl/uuid:01e55d9c-82d2-499f-bd7f-6787850574d7
http://resolver.tudelft.nl/uuid:01e55d9c-82d2-499f-bd7f-6787850574d7
Autor:
Nick Lindemulder
Publikováno v:
Journal of Approximation Theory. 264:105519
The main result of this paper is an intersection representation for a class of anisotropic vector-valued function spaces in an axiomatic setting a la Hedberg and Netrusov (2007), which includes weighted anisotropic mixed-norm Besov and Lizorkin–Tri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70c257a7a87e501dc68ba7edeed23e84
https://doi.org/10.1016/j.jat.2020.105519
https://doi.org/10.1016/j.jat.2020.105519
Publikováno v:
Mathematische Nachrichten, 291(16)
We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::283e302ac3745084f1b832718ca0d194
http://resolver.tudelft.nl/uuid:74282f34-b1af-44cf-b9ea-358679f4fa4c
http://resolver.tudelft.nl/uuid:74282f34-b1af-44cf-b9ea-358679f4fa4c
Publikováno v:
Collectanea mathematica, 71 (3), 511-548
We establish Littlewood-Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem for operator-valued multipliers. We also show two-weight estimates for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39e6c76a829197e9abe24968ece9f702
Autor:
Nick Lindemulder
Publikováno v:
Trends in Mathematics ISBN: 9783319278407
Let E and G be two Banach function spaces, let T ∈ L(E, Y ), and let \( \begin{array}{lll} \left\langle {X,\,Y} \right\rangle \end{array} \) be a Banach dual pair. In this paper we give conditions for which there exists a (necessarily unique) bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ade42249756e445a0962d1e68f489e5
https://doi.org/10.1007/978-3-319-27842-1_18
https://doi.org/10.1007/978-3-319-27842-1_18
Autor:
Nick Lindemulder
In this paper we prove a randomized difference norm characterization for Bessel potential spaces with values in UMD Banach spaces. The main ingredients are $\mathcal{R}$-boundedness results for Fourier multiplier operators, which are of independent i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5b00f325a44f66ec40d101018b6f19f
http://arxiv.org/abs/1505.08039
http://arxiv.org/abs/1505.08039
Autor:
Felix Hummel, Nick Lindemulder
Publikováno v:
Potential Analysis, 57, 601–669
In this paper we study elliptic and parabolic boundary value problems with inhomogeneous boundary conditions in weighted function spaces of Sobolev, Bessel potential, Besov and Triebel-Lizorkin type. As one of the main results, we solve the problem o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e704eea4c9453a88f32dbffe04f71b30