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$L$ -Correspondences: The inclusion $L^{p} (μ, X) \subset L^{q} (υ, Y)$ .

Dawson, C.Bryan (1996)

International Journal of Mathematics and Mathematical Sciences

$L_{p}$ - and $S_{p, q}^{r} B$ -discrepancy of (order 2) digital nets

Lev Markhasin (2015)

Acta Arithmetica

Dick proved that all dyadic order 2 digital nets satisfy optimal upper bounds on the $L_{p}$ -discrepancy. We prove this for arbitrary prime base b with an alternative technique using Haar bases. Furthermore, we prove that all digital nets satisfy optimal upper bounds on the discrepancy function in Besov spaces with dominating mixed smoothness for a certain parameter range, and enlarge that range for order 2 digital nets. The discrepancy function in Triebel-Lizorkin and Sobolev spaces with dominating mixed...

$L^{p}$ -approximation of Jacobians

Jan Malý (1991)

Commentationes Mathematicae Universitatis Carolinae

The paper investigates the nonlinear function spaces introduced by Giaquinta, Modica and Souček. It is shown that a function from ${Cart}^{p} (Ω, 𝐑^{m})$ is approximated by $𝒞^{1}$ functions strongly in $𝒜^{q} (Ω, 𝐑^{m})$ whenever $q < p$ . An example is shown of a function which is in ${cart}^{p} (Ω, 𝐑^{2})$ but not in ${cart}^{p} (Ω, 𝐑^{2})$ .

$L^{p}$ -boundedness for pseudodifferential operators with non-smooth symbols and applications

Gianluca Garello, Alessandro Morando (2005)

Bollettino dell'Unione Matematica Italiana

Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of $L^{p}$ continuity for pseudodifferential operators whose symbol a(x,ξ) is non smooth with respect to x and whose derivatives with respect to ξ have a decay of order ρ with $0 < ρ \leq 1$ . The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.

$L^{p}$ estimates for the Cauchy transforms of distributions with respect to convex cones

Laura De Carli (1992)

Rendiconti del Seminario Matematico della Università di Padova

$L_{p, q}$ -cohomology of warped cylinders

Yaroslav Kopylov (2009)

Annales mathématiques Blaise Pascal

We extend some results by Gol $^{'}$ dshtein, Kuz $^{'}$ minov, and Shvedov about the $L_{p}$ -cohomology of warped cylinders to $L_{p, q}$ -cohomology for $p \neq q$ . As an application, we establish some sufficient conditions for the nontriviality of the $L_{p, q}$ -torsion of a surface of revolution.

Currently displaying 1 – 20 of 124

Page 1 Next

Displaying 1 – 20 of 124

$L$ -Correspondences: The inclusion $L^{p} (μ, X) \subset L^{q} (υ, Y)$ .

$L_{p}$ - and $S_{p, q}^{r} B$ -discrepancy of (order 2) digital nets

$L^{p}$ -approximation of Jacobians

$L^{p}$ -boundedness for pseudodifferential operators with non-smooth symbols and applications

$L^{p}$ estimates for the Cauchy transforms of distributions with respect to convex cones

$L_{p, q}$ -cohomology of warped cylinders

$L^{p}$ regularity of velocity averages

$L^{p}$ -Struktur in Banachräumen

$L^{p}$ -Struktur in Banachräumen II

$L_{p}$ - theory for a class of singular elliptic differential operators, II

$L_{p}$ -theory for a class of singular elliptic differential operators

$L^{p, Φ}$ spaces and their application to elliptic partial differential operators

L1-Räume und Liftings von Operatoren nach Quotienten lokalkonvexer Räume.

L²-Angles between one-dimensional tubes

La convolution dans $L^{1}$ faible de $ℝ^{n}$

La méthode d'interpolation complexe : applications aux treillis de Banach

La presque-périodicité et les coalgèbres injectives

La propiedad de Radon-Nikodym en espacios de Banach duales.

La propriété de Banach Saks ne passe pas de $E$ à $L^{2} (E)$ , d’après J. Bourgain

La topologie de la convergence bornée sur les algèbres de fonctions continues

Currently displaying 1 – 20 of 124