Results 71 to 80 of about 4,008,571 (171)

Wavelets in Sobolev space over local fields of positive characteristics

, 2018
The Sobolev space over local fields [Formula: see text] is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these space are constructed and an example is also presented.
Ashish Pathak, Guru P. Singh
core   +1 more source

Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy

Computer Graphics Forum, EarlyView.
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley   +1 more source

Diffeomorphism Invariant Minimization of Functionals with Nonuniform Coercivity

Mathematics
We consider the minimization of a functional of the calculus of variations, under assumptions that are diffeomorphism invariant. In particular, a nonuniform coercivity condition needs to be considered.
Marco Degiovanni, Marco Marzocchi
doaj   +1 more source

Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space

, 2013
We review results concerning optimal Sobolev inequalities in Riemannian manifolds and recent existence/non existence/uniqueness results for Sobolev extremals in the hyperbolic space ℍn .
Kunnath Sandeep, Mancini, Gianni, Gianni Mancini, Sandeep, Kunnath   +3 more
core   +2 more sources

Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces [PDF]

, 2016
summary:We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak ...
Ohno, Takao, Shimomura, Tetsu
core   +1 more source

Optimal Regularity Properties of the Generalized Sobolev Spaces

Journal of Function Spaces and Applications, 2013
We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
doaj   +1 more source

The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

, 2008
It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the upper half space H-3 subset of R-3 is given by the Sobolev constant.
Frank, Rupert L.,, Benguria, Rafael D., Loss, Michael   +2 more
core   +1 more source

QK Spaces on the Unit Circle

Journal of Function Spaces, 2014
We introduce a new space QK(∂D) of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space. We obtain a necessary and sufficient condition on K such that QK(∂D)=BMO(∂D), as well as a general criterion on weight ...
Jizhen Zhou
doaj   +1 more source

SOBOLEV SPACES OVER $\R^\infty$

, 2022
Our goal in this article is to construct Sobolev  spaces over $\R^\infty.$ Completeness of the Sobolev space over $\R^\infty$ are discussed. In application we have constructed the Sobolev spaces on a separable  Banach space $B.
Kalita, Hemanta
core   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source