Báo cáo hóa học: " Research Article Volterra-Type Operators on Zygmund Spaces" doc

... T 0 qpm on X. 2. Q-Functions on T 0 qpm-Spaces We start this section by giving the main concept of this paper, which was introduced in 5 for quasimetric spaces. Definition 2.1. A Q-function on a ... metric on Xis a Q-function on X, d. Proof. Since d 01 is a metric it obviously satisfies condition Q1 of Definition 2.1. Now suppose that y n  n∈ is a sequence in X that τ d −1 -con...

Ngày tải lên: 21/06/2014, 05:20

... T 0 qpm on X. 2. Q-Functions on T 0 qpm-Spaces We start this section by giving the main concept of this paper, which was introduced in 5 for quasimetric spaces. Definition 2.1. A Q-function on a ... metric on Xis a Q-function on X, d. Proof. Since d 01 is a metric it obviously satisfies condition Q1 of Definition 2.1. Now suppose that y n  n∈ is a sequence in X that τ d −1 -con...

Ngày tải lên: 21/06/2014, 17:20

... integral operators, for instance, for maximal and Calder ´ on- Zygmund singular operators defined on X. Considerable interest of researchers is focused on the study of mapping properties of integral operators ... p 1   x dμ  x  <∞, 4.7 iii condition c of Theorem 4.1 holds. Remark 4.3. If p  p c ≡ const on X, then the conditions P i < ∞, i  1, 2, are necessary...

Ngày tải lên: 21/06/2014, 07:20

...  √ −1. These expressions demonstrate that fractional derivatives have memory, contrary to integer derivatives that consist in local operators. There is a long standing discussion, still going on, about ... diffusion, modeling, and control 8–17. The area of dynamical systems and control has received a considerable attention, and recently several papers addressing evolutionary concepts and...

Ngày tải lên: 21/06/2014, 05:20

... Corporation Journal of Inequalities and Applications Volume 2011, Article ID 592840, 9 pages doi:10.1155/2011/592840 Research Article Some New Double Sequence Spaces Defined by Orlicz Function in ... 2.21 Such transformation is said to be nonnegative if a m,n,k,l is nonnegative for all m, n, k, and l. 2 Journal of Inequalities and Applications If convexity of Orlicz function M is repla...

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... respectively. The orthonormal 2 EURASIP Journal on Advances in Signal Processing conditions (1) imply the following conditions called the perfect reconstruction (PR) conditions [2, 6]: a−1  k=0 P  ω ... Corporation EURASIP Journal on Advances in Signal Processing Volume 2011, Article ID 231754, 7 pages doi:10.1155/2011/231754 Research Article A Study on Conjugate Quadrature Filt...

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... and Applications 3 It is obvious the conditions 1.3–1.5 are dependent on the matrix A, independent on G. Condition 1.4 will be used in a further topic in the paper; the condition 1.4 is complicated, ... construct other types of Lyapunov functions to discuss how the solutions vary in R d  in more detail. As mentioned in Section 2, the nonexplosion property in a population dynamica...

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... Corporation Journal of Inequalities and Applications Volume 2011, Article ID 513821, 8 pages doi:10.1155/2011/513821 Research Article A Study on the p-Adic q-Integral Representation on p Associated ... Inequalities and Applications Let UD p  be the space of uniformly differentiable functions on p .Forf ∈ UD p , the p-adic q-integral on p , which is called the bosonic q-integr...

Ngày tải lên: 21/06/2014, 06:20

... Application In this section, we indicate an application of Theorem 2.1 part ii to obtain the explicit bound on the solution of the following boundary value problem for one dimensional partial differential ... an even function. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 430512, 18 pages doi:10.1155/2010/430512 Research Article A N...

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... −t ∞  m0 e xm q t q xm . 2.1 Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 575240, 17 pages doi:10.1155/2010/575240 Research Article Some Identities on the Generalized q-Bernoulli Numbers ... with their interpolation functions,” Advanced Studies in Contemporary Mathematics, vol. 16, no. 2, pp. 251– 278, 2008. 10 Journal of Ineq...

Ngày tải lên: 21/06/2014, 07:20