EuDML | Browse

We study weakly precompact sets and operators. We show that an operator is weakly precompact if and only if its adjoint is pseudo weakly compact. We study Banach spaces with the $p$ - $L$ -limited $^{*}$ and the $p$ -(SR $^{*}$ ) properties and characterize these classes of Banach spaces in terms of $p$ - $L$ -limited $^{*}$ and $p$ -Right $^{*}$ subsets. The $p$ - $L$ -limited $^{*}$ property is studied in some spaces of operators.

$L_{p}$ - 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 366

Page 1 Next

Displaying 1 – 20 of 366

$L_{1}$ contains every two-dimensional normed space

$L_{1}$ spaces fail a certain approximative property.

$L^{2}$ -index theorems, KK-theory, and connections.

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

$L_{f} (a, r)$ -spaces between which all the operators are compact. I.

$L_{f} (a, r)$ -spaces between which all the operators are compact. II.

$L$ -fuzzifying topological vector spaces.

$L$ -limited-like properties on Banach spaces

$L_{p}$ - 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 for systems of PDE’s, with coefficients in VMO

$L^{p}$ regularity of velocity averages

$L^{p}$ -spaces and quantum dynamical semigroups

$L^{p}$ -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

Currently displaying 1 – 20 of 366