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101.
Zeng Yan Si 《数学学报(英文版)》2010,26(11):2093-2108
The author establishes λ-central BMO estimates for commutators of multilinear fractional integral operators on central Morrey spaces. 相似文献
102.
Ferenc Móricz 《Journal of Mathematical Analysis and Applications》2006,324(2):1168-1177
We study the smoothness property of a function f with absolutely convergent Fourier series, and give best possible sufficient conditions in terms of its Fourier coefficients to ensure that f belongs either to one of the Lipschitz classes Lip(α) and lip(α) for some 0<α?1, or to one of the Zygmund classes Λ∗(1) and λ∗(1). Our theorems generalize some of those by Boas [R.P. Boas Jr., Fourier series with positive coefficients, J. Math. Anal. Appl. 17 (1967) 463-483] and one by Németh [J. Németh, Fourier series with positive coefficients and generalized Lipschitz classes, Acta Sci. Math. (Szeged) 54 (1990) 291-304]. We also prove a localized version of a theorem by Paley [R.E.A.C. Paley, On Fourier series with positive coefficients, J. London Math. Soc. 7 (1932) 205-208] on the existence and continuity of the derivative of f. 相似文献
103.
Let j≥k≥0 be integers. An ?-L(j,k)-labelling of a graph G=(V,E) is a mapping ?:V→{0,1,2,…,?} such that |?(u)−?(v)|≥j if u,v are adjacent and |?(u)−?(v)|≥k if they are distance two apart. Let λj,k(G) be the smallest integer ? such that G admits an ?-L(j,k)-labelling. Define to be the smallest ? if G admits an ?-L(j,k)-labelling with ?(V)={0,1,2,…,?} and ∞ otherwise. An ?-cyclic L(j,k)-labelling is a mapping ?:V→Z? such that |?(u)−?(v)|?≥j if u,v are adjacent and |?(u)−?(v)|?≥k if they are distance two apart, where |x|?=min{x,?−x} for x between 0 and ?. Let σj,k(G) be the smallest ?−1 of such a labelling, and define similarly to . We determine λ2,0, , σ2,0 and for all Hamming graphs Kq1□Kq2□?□Kqd (d≥2, q1≥q2≥?≥qd≥2) and give optimal labellings, with the only exception being for q≥4. We also prove the following “sandwich theorem”: If q1 is sufficiently large then for any graph G between Kq1□Kq2 and Kq1□Kq2□?□Kqd, and moreover we give a labelling which is optimal for these eight invariants simultaneously. 相似文献
104.
105.
Nobuyuki Ikeda Kiyoshi Kawazu Yukio Ogura 《Stochastic Processes and their Applications》1985,19(1):63-83
Let X be a nonsingular conservative one-dimensional periodic diffusion process, λ0 its principal eigenvalue and X a binary splitting branching diffusion process with nonbranching part X. For each α > λ0 we have two positive martingales Wit(α), i = 1, 2, of X attached to the two positive α-harmonic functions of X. The main purpose of this paper is to show that their limit random variables are positive for all α? (λ0, αi), where αi are some constants greater than λ0. 相似文献
106.
Aλ3γ (λ1,λ2;E)-权函数是一类广义的权函数,可视为许多经典权函数的推广.文中给出了关于Aλ3γ(λ1,λ2;E)-权的和与积的运算性质,并进而证明了Aλ3γ(λ1,λ2;E)-权函数的两个充要条件. 相似文献
107.
108.
Tibor K. Pogány 《Journal of Mathematical Analysis and Applications》2008,342(2):1485-1489
Sharp version of celebrated Hilbert's double series theorem is given in the case of non-homogeneous kernel. The main mathematical tools are: the integral representation of Mathieu's (a,λ)-series, the Hölder inequality and an extension of the double series theorem by Yang. 相似文献
109.
In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions. 相似文献
110.