Results 281 to 290 of about 693,697 (314)

REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION

Bulletin of the London Mathematical Society, 2003
The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. Our main result shows that the fractional maximal operator maps \(L^p\)-spaces boundedly into certain first-order Sobolev spaces. We also prove that the fractional maximal operator preserves first-order Sobolev spaces.
Kinnunen, Juha, Saksman, Eero
openaire   +1 more source

Amputation in the Diabetic to Maximize Function

Seminars in Vascular Surgery, 2012
For the patient facing a major lower extremity amputation, the surgeon's goal should be to salvage a residual limb with the maximum amount of function. This requires coordinating length with the available prosthetics and tenodesing muscle to optimize joint motion and maintain muscle tone.
Benjamin J, Brown, Charlie G, Crone, Christopher E, Attinger   +2 more
openaire   +2 more sources

Maximal Functions in Sobolev Spaces

2008
Applications of the Hardy-Littlewood maximal functions in the modern theory of partial differential equations are considered. In particular, we discuss the behavior of maximal functions in Sobolev spaces, Hardy in- equalities, and approximation and pointwise behavior of Sobolev functions.
Aalto Daniel, Kinnunen Juha
openaire   +1 more source

Online BP Functions Maximization

2020
The BP problem maximizes the sum of a suBmodular function and a suPermodular function(BP) subject to some constraints, where both functions are nonnegative and monotonic. This type of problems arises naturally in many applications in machine learning, data science and artificial intelligence. We consider two online BP problems.
Ling Chen, Zhicheng Liu, Hong Chang 0002, Donglei Du, Xiaoyan Zhang 0001   +4 more
openaire   +1 more source

Maximizing the potential of functional genomics

Nature Reviews Genetics, 2004
Geneticists have made tremendous progress in understanding the genetic basis of phenotypes, and genomics promises to bring further insights at a rapid pace. The progress in functional genomics has been driven primarily by the development of new techniques that are used in a few dedicated research centres.
Lars M, Steinmetz, Ronald W, Davis
openaire   +2 more sources

On the Maximization of a Pseudo-Boolean Function

Journal of the ACM, 1972
Peter L. Hammer, Uri N. Peled
openaire   +1 more source

Maximality in Function Algebras

Journal of the London Mathematical Society, 1980
openaire   +2 more sources

The asymptotic property of the hyperparabolic maximal function

Annals of Functional Analysis, 2021
Xudong Nie
exaly  

Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents

Rendiconti Del Circolo Matematico Di Palermo, 2020
Kwok-Pun Ho, Ho Kwok-Pun
exaly  

Maximal directions of monotonicity of an aggregation function

Fuzzy Sets and Systems, 2022
Bernard De Baets, H De Meyer
exaly