Results 111 to 120 of about 6,536,345 (211)

Sharp maximal function estimates and boundedness for commutators associated with general integral operator

, 2011
In this paper, we establish the sharp maximal function estimates for the commutator associated with some integral operator with general kernel and the weighted Lipschitz functions.
Lanzhe Liu
core   +1 more source

Medial Axis Aware Learning of Signed Distance Functions

Computer Graphics Forum, EarlyView.
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier, Christoph Norden‐Smoch, Martin Rumpf   +2 more
wiley   +1 more source

Almost Automorphic Solutions of Difference Equations

Advances in Difference Equations, 2009
We study discrete almost automorphic functions (sequences) defined on the set of integers with values in a Banach space X. Given a bounded linear operator T defined on X and a discrete almost automorphic function f(n), we give criteria for the existence ...
Daniela Araya, Rodrigo Castro, Carlos Lizama   +2 more
doaj   +1 more source

Lipschitz Continuity and Gateaux Differentiability of the Best Approximation Operator in Vector-Valued Chebyshev Approximation [PDF]

, 2007
When G is a finite-dimensional Haar subspace of CX,Rk, the vector-valued functions (including complex-valued functions when k is 2) from a finite set X to Euclidean k-dimensional space, it is well-known that at any function f in CX,Rk the best ...
Swetits, John, Bartelt, Martin
core   +1 more source

Compactly supported detail field for high quality neural implicit surfaces

Computer Graphics Forum, EarlyView.
Abstract Neural implicit surfaces are a powerful tool for encoding a surface as the zero level set of a neural function. Trained using gradient‐descent based optimizers, these methods however suffer from a low‐frequency bias that prevents them to fit fine details of the surface.
Guillaume Coiffier, Justine Basselin
wiley   +1 more source

Multiple Binomial-Type Operators and Their Approximation Properties

Journal of Mathematics
In this paper, we introduce multiple binomial-type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin-type theorem.
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit   +2 more
doaj   +1 more source

Commutators associated with Schrödinger operators on the nilpotent Lie group

Journal of Inequalities and Applications, 2017
Assume that G is a nilpotent Lie group. Denote by L = − Δ + W $L=-\Delta +W $ the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class B q 1 $B_{q_{1}}$ for some q 1 ≥ D 2 $q_{1} \geq ...
Tianzhen Ni, Yu Liu
doaj   +1 more source

The best constants for operator Lipschitz functions on Schatten classes

Journal of Functional Analysis, 2014
Suppose that f is a Lipschitz function on the real numbers with Lipschitz constant smaller or equal to 1. Let A be a bounded self-adjoint operator on a Hilbert space H.
Caspers, M., Montgomery-Smith, S., Potapov, D., Sukochev, F.   +3 more
openaire   +2 more sources

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
wiley   +1 more source

Relatively bounded and relatively trace class perturbations

Comptes Rendus. Mathématique
In this note we study the behaviour of functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. We introduce and study the class of relatively operator Lipschitz functions.
Aleksandrov, Aleksei B., Peller, Vladimir V.   +1 more
doaj   +1 more source