Results 61 to 70 of about 4,676 (117)

Mappings of generalized finite distortion and continuity

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We study continuity properties of Sobolev mappings f∈Wloc1,n(Ω,Rn)$f \in W_{\mathrm{loc}}^{1,n} (\Omega , \mathbb {R}^n)$, n⩾2$n \geqslant 2$, that satisfy the following generalized finite distortion inequality Df(x)n⩽K(x)Jf(x)+Σ(x)$$\begin{equation*} \hspace*{4.6pc}{\left| Df(x) \right|}^n \leqslant K(x) J_f(x) + \Sigma (x) \end{equation ...
Anna Doležalová, Ilmari Kangasniemi, Jani Onninen   +2 more
wiley   +1 more source

Asymptotic Growth of Moduli of m-th Derivatives of Algebraic Polynomials in Weighted Bergman Spaces on Regions Without Zero Angles

Axioms
In this paper, we study asymptotic bounds on the m-th derivatives of general algebraic polynomials in weighted Bergman spaces. We consider regions in the complex plane defined by bounded, piecewise, asymptotically conformal curves with strictly positive ...
Uğur Değer, Meerim Imashkyzy, Fahreddin G. Abdullayev   +2 more
doaj   +1 more source

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion. [PDF]

J Geom Anal, 2022
Clop A, Hitruhin L, Sengupta B.
europepmc   +1 more source

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source

DIFFEOMORPHIC REGISTRATION FOR RETINOTOPIC MAPPING VIA QUASICONFORMAL MAPPING. [PDF]

Proc IEEE Int Symp Biomed Imaging, 2020
Tu Y, Ta D, Gu XD, Lu ZL, Wang Y.
europepmc   +1 more source

Diffeomorphic registration for retinotopic maps of multiple visual regions. [PDF]

Brain Struct Funct, 2022
Tu Y, Li X, Lu ZL, Wang Y.
europepmc   +1 more source

Characterizing visual cortical magnification with topological smoothing and optimal transportation. [PDF]

Proc SPIE Int Soc Opt Eng, 2023
Xiong Y, Tu Y, Lu ZL, Wang Y.
europepmc   +1 more source

Topological Receptive Field Model for Human Retinotopic Mapping. [PDF]

Med Image Comput Comput Assist Interv, 2021
Tu Y, Ta D, Lu ZL, Wang Y.
europepmc   +1 more source

Protocol for topology-preserving smoothing of BOLD fMRI retinotopic maps of the human visual cortex. [PDF]

STAR Protoc, 2022
Tu Y, Li X, Lu ZL, Wang Y.
europepmc   +1 more source

Duality of capacities and Sobolev extendability in the plane. [PDF]

Complex Analysis Synerg, 2021
Zhang YR.
europepmc   +1 more source