Results 41 to 50 of about 194,812 (251)

Orthonormal bases of regular wavelets in spaces of homogeneous type [PDF]

open access: yes, 2012
Adapting the recently developed randomized dyadic structures, we introduce the notion of spline function in geometrically doubling quasi-metric spaces. Such functions have interpolation and reproducing properties as the linear splines in Euclidean spaces.
Auscher, Pascal, Hytönen, Tuomas
core   +2 more sources

Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order [PDF]

open access: yes, 2009
Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained.
Adams   +43 more
core   +2 more sources

Weighted weak estimate for commutators of fractional type parametric Marcinkiewicz integrals over non-homogeneous metric spaces

open access: yesMathematical Inequalities & Applications, 2023
. Let ( X , d ) be a metric space satisfying the geometrically doubling condition, and  be a Borel measure satisfying the upper doubling condition. In this paper, the authors prove the weak type weighted L p (  ) boundedness of the commutators T b  , 
Shuai un Feng, Xiangxing Tao
semanticscholar   +1 more source

Non-homogeneous Square Functions on General Sets : Suppression and Big Pieces Methods [PDF]

open access: yes, 2016
We aim to showcase the wide applicability and power of the big pieces and suppression methods in the theory of local Tb theorems. The setting is new: we consider conical square functions with cones {x is an element of R-n \ E : |x-y|
Martikainen, Henri   +2 more
core   +2 more sources

Renormalization group properties in the conformal sector: towards perturbatively renormalizable quantum gravity

open access: yesJournal of High Energy Physics, 2018
The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties.
Tim R. Morris
doaj   +1 more source

Cayley-Klein Poisson Homogeneous Spaces [PDF]

open access: yes, 2019
Producción CientíficaThe nine two-dimensional Cayley–Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogeneous spaces (of points and two kinds of lines), in ...
Ballesteros Castañeda, Ángel   +3 more
core   +1 more source

Logarithm laws and shrinking target properties [PDF]

open access: yes, 2008
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation, and probability theory.Comment: This is a ...
Athreya, Jayadev S.
core   +1 more source

Spread: a measure of the size of metric spaces [PDF]

open access: yes, 2014
Motivated by Leinster-Cobbold measures of biodiversity, the notion of the spread of a finite metric space is introduced. This is related to Leinster's magnitude of a metric space.
Willerton, Simon
core   +1 more source

Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators

open access: yes, 2018
We deal with homogeneous Besov and Triebel-Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property.
Georgiadis, Athanasios G.   +3 more
core   +2 more sources

Weighted Boundedness of Certain Sublinear Operators in Generalized Morrey Spaces on Quasi-Metric Measure Spaces Under the Growth Condition

open access: yesJournal of Fourier Analysis and Applications, 2022
We prove weighted boundedness of Calderón–Zygmund and maximal singular operators in generalized Morrey spaces on quasi-metric measure spaces, in general non-homogeneous, only under the growth condition on the measure, for a certain class of weights ...
N. Samko
semanticscholar   +1 more source

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