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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
We compute their H?lder regularity and oscillation at every point and we deduce their spectrum of oscillating singularities.
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Mean oscillation of functions and the Paley-Wiener space
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Ideal weights: Asymptotically optimal versions of doubling, absolute continuity, and bounded mean oscillation
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We first show that if p>amp;gt;1, thenQp(?Δ)=BMO(?Δ), the space of complex-valued functions with bounded mean oscillation on ?Δ.
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In this paper, we investigate the complex oscillation of the differential equationf"+B1f'+B0f=F, whereB0,B1,F≠0 are finite order meromorphic functions having only finitely many poles and the order ofB1 is larger than that ofB0.
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Singularity spectrum of multifractal functions involving oscillating singularities
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We give general mathematical results concerning oscillating singularities and we study examples of functions composed only of oscillating singularities.
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We compute their H?lder regularity and oscillation at every point and we deduce their spectrum of oscillating singularities.
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We show that the trace of an indefinitely oscillating function on a subspace of ?d is not always indefinitely oscillating.
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Oscillating multipliers for some eigenfunction expansions
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In particular, the results in this article show that the oscillations of a function at large scale are comparable to the oscillations of its samples on an appropriate discrete set of points.
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In the periodic case, the number of oscillations of the trace depends on the regularity of the function.
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Linearized oscillations of delay differential equations and applications
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The necessary and sufficient conditions for the oscillations of every solution of the nonlinear delay equation x(t)+f(itx(t-l))+g(itx([t-k])) = 0 are oblained.
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Oscillations of solution for a class of higher-order neutral differential equation
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The complete (Lp, Lp) mapping properties for a class of oscillatory integrals
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The oscillatory behavior of functions with compactly supported Fourier transform is characterized in a quantified way using various function spaces.
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Schr?dinger equation and oscillatory Hilbert transforms of second degree
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The second method employs interrelation between Pμ and the associated oscillatory potentials.
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Weighted estimates for rough oscillatory singular integrals
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