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The generalized modulus of continuity and wavelets
1994Over 20 years ago I introduced a flexible instrument to measure regularity of functions on Euclidean space which I called the generalized modulus of continuity or, m-modulus, with m denoting an arbitrary bounded complex measure on n-space whose Fourier transform vanishes at the origin.
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Extension of functions preserving the modulus of continuity
Mathematical Notes, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Modulus of Continuity of a Measure with Finite Energy
Computational Methods and Function Theory, 2007Let \(n\geq 1\) and \(h:(0,1)\rightarrow (0,\infty )\) be a function such that \( r^{n+1}h(r)\) is increasing and bounded, and \(\int_{0}^{1}h(r)\,dr=\infty \). A kernel \(H\) is defined on \(\mathbb{R}^{n}\) by \(H(x)=\int_{| x| }^{1}h(r)\,dr\) when \(\left| x\right| \leq 1/2\) and by \( H(x)=H(x_{0})\) when \(\left| x\right| >\left| x_{0}\right| =1/2\
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Modulus of continuity for continuous additive functional
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1972openaire +1 more source
On the Moments of the Modulus of Continuity of Itô Processes
Stochastic Analysis and Applications, 2009Giovanna Nappo
exaly
Continuous extrusion of high-modulus semicrystalline polymers
Journal of Applied Polymer Science, 1981D. M. Bigg +3 more
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Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
Journal of Functional Analysis, 2019Albert Clop, Joan Mateu, Joan Orobitg
exaly