Results 31 to 40 of about 340,092 (283)
Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Chemotherapy‐induced peripheral neuropathy remains a major complication in pediatric cancer, with disrupted somatosensory and nociceptive processing being a key aspect. This review synthesizes empirical studies on alterations in somatosensory and nociceptive processing in children and adolescents with cancer.
Julia Schweiger +4 more
wiley +1 more source
The maximal operator in weighted variable spaces Lp(⋅)
Journal of Function Spaces and Applications, 2007 We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane.
Vakhtang Kokilashvili +2 more
doaj +1 more source
Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces [PDF]
, 2015 We provide some new estimates for Bellman type functions for the dyadic maximal opeator on $R^n$ and of maximal operators on martingales related to weighted spaces.
Cheliotis, Dimitrios +2 more
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Sobolev spaces, Lebesgue points and maximal functions
, 2013 In this note we study boundedness of a large class of maximal operators in Sobolev spaces that includes the spherical maximal operator. We also study the size of the set of Lebesgue points with respect to convergence associated with such maximal ...
Hajlasz, Piotr, Liu, Zhuomin
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata +9 more
wiley +1 more source
Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
Abstract and Applied Analysis, 2010 We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
doaj +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function
Journal of Function Spaces, 2018 We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and ...
Feng Liu, Lei Xu
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On a Biparameter Maximal Multilinear Operator [PDF]
, 2013 It is well-known that estimates for maximal operators and questions of pointwise convergence are strongly connected. In recent years, convergence properties of so-called `non-conventional ergodic averages' have been studied by a number of authors ...
Luthy, Peter
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