Martingale Inequalities in Variable Exponent Hardy spaces with
$0arXiv, 2016
We investigate the properties of the variable Lebesgue spaces with quasi-norm
on a probability space, and give the atomic decompositions suited to the
variable exponent martingale Hardy spaces. Using the decompositions and the
harmonic mean of a variable exponent, we obtain several continuous embedding
relations between martingale Hardy spaces with ...
arxiv
A degenerate elliptic system with variable exponents [PDF]
We study a degenerate elliptic system with variable exponents. Using the variational approach and some recent theory on weighted Lebesgue and Sobolev spaces with variable exponents, we prove the existence of at least two distinct nontrivial weak solutions of the system.
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Traces for fractional Sobolev spaces with variable exponents [PDF]
Fil: Rossi, Julio Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales.
Del Pezzo, Leandro, Rossi, Julio D.
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Abstract Background Volumetric modulated arc therapy (VMAT) requires an accurate patient‐specific quality assurance (PSQA) program. In clinical practice, this is usually performed using the γ‐index and the two‐dimensional gamma passing rate (2D %GP). A three‐dimensional (3D) index incorporating the patient anatomy could be more useful for the 3D dose ...
Christos Zarros+6 more
wiley +1 more source
Multilinear fractional type operators and their commutators on Hardy spaces with variable exponents [PDF]
In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue spaces with variable exponents via the atomic decomposition theory. We also study continuity properties of commutators of multilinear fractional type operators on product of certain Hardy spaces with variable ...
arxiv
Methods for working with problem residents in medical physics residency education
Abstract Medical physics residency training programs may occasionally encounter residents requiring additional intervention beyond normal training efforts. In the literature, these residents are referred to as “problem” residents. While the physician literature on the subject is valuable, this paper specifically focuses on dealing with a problem ...
Christopher J. Watchman, Dandan Zheng
wiley +1 more source
Existence of solutions for a variable exponent system without PS conditions
In this article, we study the existence of solution for the following elliptic system of variable exponents with perturbation terms $$\displaylines{ -\hbox{div}| \nabla u| ^{p(x)-2}\nabla u)+|u| ^{p(x)-2}u =\lambda a(x)| u| ^{\gamma(x)-2}u+F_{u}(x,u ...
Li Yin+3 more
doaj
Abstract Introduction Many artificial intelligence (AI) solutions have been proposed to enhance the radiotherapy (RT) workflow, but limited applications have been implemented to date, suggesting an implementation gap. One contributing factor to this gap is a misalignment between AI systems and their users.
Luca M. Heising+11 more
wiley +1 more source
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Kinnunen Juha+2 more
doaj
In this article we will provide new multiplicity results of the solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions.
Shapour Heidarkhani+2 more
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