𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Pointwise Regularity of Functions in Critical Besov Spaces

✍ Scribed by Stéphane Jaffard; Yves Meyer


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
165 KB
Volume
175
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis


We bound the spectrum of singularities of functions in the critical Besov spaces, and we show that this result is sharp, in the sense that equality in the bounds holds for quasi-every function of the corresponding Besov space.


📜 SIMILAR VOLUMES


On the well-posedness of the Cauchy prob
✍ Changxing Miao; Baoquan Yuan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB 👁 1 views

## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__⩾3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys

Pointwise Best Approximation in the Spac
✍ Y. Zhaoyong; G. Tiexin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 259 KB

The object of this paper is to prove the following theorem: Let \(Y\) be a closed subspace of the Banach space \(X,(S, \Sigma, \mu)\) a \(\sigma\)-finite measure space, \(L(S, Y)\) (respectively, \(L(S, X)\) ) the space of all strongly measurable functions from \(S\) to \(Y\) (respectively, \(X\) ),

On the regularity criterion for the solu
✍ Zaihong Jiang; Sadek Gala; Lidiao Ni 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 1 views

## Communicated by M. Costabel In this work, we improved the regularity criterion on the Cauchy problem for the Navier-Stokes equations in multiplier space in terms of the two partial derivatives of velocity fields, @ 1 u 1 and @ 2 u 2 .

On the Stability of Functional Equations
✍ Themistocles M Rassias 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 140 KB

The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.