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On Martingale Spaces and Inequalities,some martingale ideas and methods. A number of examples can be taken to show this. The famous Calderón-Zygmund decomposition, one of the key parts of Calderón-Zygmund’s real method, may be said to be a counterpart of stopping time argument in Probability Theory; the atomic decomposition of .. spaces货物 发表于 2025-3-26 06:35:16
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Paracommutators and Hankel Operators,ssical Hankel operator is defined on the Hilbert space .. by the Hankel matrix Γ = {..}.≥0, and the Toeplitz operator is defined also on .. by the toeplitz matrix . = {..}.. By the theory of the Fourier series both of them become the operators on the Hardy space .. Let . denote the conjugate Hardy smisshapen 发表于 2025-3-26 12:54:20
Operators-Derivatives-Spaces-Differential Equations on Locally Compact Vilenkin Groups, the first part, we study the following topics : pseudo-differential operators and their boundedness on Sobolev spaces; the concept of para-differential operators, Gibbs type differential operators and equations. Then as the second part is to study the boundedness of para-differential operatorsJECT 发表于 2025-3-26 18:59:21
On Selfsimilarity of Functions,en by means of a convolution operator that is of product type. Some local properties are established. Their Fourier expansions and derivatives have the advantage is deduce useful expressions of some typical interesting functions such as the p-adic Cantor functions.