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171.
One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form r n for some n>0. The aim of this paper is to study the boundedness of Calderón–Zygmund singular integral operators T on various function spaces on (X,μ) such as the Hardy spaces, the L p spaces, and the regularized BMO spaces. This article thus extends the work of X. Tolsa (Math. Ann. 319:89–149, 2011) on the non-homogeneous space (? n ,μ) to the setting of a general non-homogeneous space (X,μ). Our framework of the non-homogeneous space (X,μ) is similar to that of Hytönen (2011) and we are able to obtain quite a few properties similar to those of Calderón–Zygmund operators on doubling spaces such as the weak type (1,1) estimate, boundedness from Hardy space into L 1, boundedness from L ∞ into the regularized BMO, and an interpolation theorem. Furthermore, we prove that the dual space of the Hardy space is the regularized BMO space, obtain a Calderón–Zygmund decomposition on the non-homogeneous space (X,μ), and use this decomposition to show the boundedness of the maximal operators in the form of a Cotlar inequality as well as the boundedness of commutators of Calderón–Zygmund operators and BMO functions. 相似文献
172.
Yoshida M Kamada Y Takenaga H Sakamoto Y Urano H Oyama N Matsunaga G;JT- Team 《Physical review letters》2008,100(10):105002
The toroidal plasma rotation generated by the external momentum input and by the plasma itself (intrinsic rotation) has been separated through a novel momentum transport analysis in the JT-60U tokamak device. The toroidal rotation, which is not determined by the momentum transport coefficients and the external momentum input, has been observed. It is found that this intrinsic rotation is locally determined by the local pressure gradient and increases with increasing pressure gradient. This trend is almost the same for various plasmas: low and high confinement mode, co and counterrotating plasmas. 相似文献
173.
174.
Pham The Anh Artur Babiarz Adam Czornik Michal Niezabitowski Stefan Siegmund 《Mathematical Methods in the Applied Sciences》2020,43(13):7815-7824
In this paper, we establish some criteria for boundedness, stability properties, and separation of solutions of autonomous nonlinear nabla Riemann-Liouville scalar fractional difference equations. To derive these results, we prove the variation of constants formula for nabla Riemann-Liouville fractional difference equations. 相似文献
175.
176.
The Svedberg 《Colloid and polymer science》1916,18(2):54-56
Ohne Zusammenfassung 相似文献
177.
The Svedberg 《Colloid and polymer science》1910,7(1):1-7
Ohne Zusammenfassung 相似文献
178.
Analytical Methods Committee The Royal Society of Chemistry 《Accreditation and quality assurance》2008,13(1):29-32
The interpretation and reporting the results of measurements on materials where the concentration of the analyte is close
to or may even be zero has been the subject of much discussion with the use of such concepts as limit of detection (LOD) and
limit of quantification (LOQ). While these concepts have taken into account the measurement uncertainty, they have not utilised
the fact that the value of the measurand, i.e., the concentration, is constrained to be zero or greater. Taking this into
account the distribution of values attributable to the measurand can be derived from the probability density function (PDF)
that determines the distribution of the observed values. When this PDF is normal the distribution of the values attributable
to the measurand is a truncated t distribution with a lower limit of
re-normalised so that the total probability is one, where x
m
is the mean of the n observed values and s their standard deviation. When x
m
much greater than then the distribution reverts to the unmodified t distribution. The probability that the value of the measurand is above or below a limit can be calculated directly from this
truncated t distribution and the interpretation of the result does not require the use of concepts such as LOD and LOQ. Also it deals
with the problem of negative observations.
This Report was written by Alex Williams (e-mail: aw@camberley.demon.co.uk) for the Statistical Subcommittee and approved
by the Analytical Methods Committee. 相似文献
179.
Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems
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In this paper, we consider the split feasibility problem (SFP) in infinite‐dimensional Hilbert spaces and propose some subgradient extragradient‐type algorithms for finding a common element of the fixed‐point set of a strict pseudocontraction mapping and the solution set of a split feasibility problem by adopting Armijo‐like stepsize rule. We derive convergence results under mild assumptions. Our results improve some known results from the literature. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
180.