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1.
A Littlewood-Paley type
inequality 总被引:2,自引:0,他引:2
In this note we prove the following theorem: Let u be a
harmonic function in the unit ball
and
. Then there is a
constant C =
C(p,
n) such that
. 相似文献
2.
Stevo Stevi? 《Journal of Mathematical Analysis and Applications》2006,316(1):60-68
In this note we prove that the positive solutions of some classes of rational difference equations are globally asymptotically stable. Using a Berg's result, we also find asymptotics of some solutions of these equations. 相似文献
3.
Let ψ be a holomorphic function on the open unit disk D and φ a holomorphic self-map of D. Let Cφ,Mψ and D denote the composition, multiplication and differentiation operator, respectively. We find an asymptotic expression for the essential norm of products of these operators on weighted Bergman spaces on the unit disk. This paper is a continuation of our recent paper concerning the boundedness of these operators on weighted Bergman spaces. 相似文献
4.
Stevo Stevi? 《Applied mathematics and computation》2011,218(7):3372-3378
5.
Stevo Stevi? 《Applied mathematics and computation》2010,216(1):187-10194
Let D be a bounded symmetric domain, H(D) the class of all holomorphic functions on D and u∈H(D). Operator norm of the multiplication operator on the weighted Bergman space , as well as of weighted composition operator from to a weighted-type space are calculated. 相似文献
6.
Stevo Stevi? 《Applied mathematics and computation》2010,216(1):179-5018
Suppose r∈(0,1],m∈N and 1?k1<k2<?<k2m+1, and let S2m+1={1,2,…,2m+1}. We show that every positive solution to the difference equation
7.
8.
In this paper we consider the difference equation $$x_{n + 1} = \frac{{a + bx_{n - k} - cx_{n - m} }}{{1 + g(x_{n - 1} )}},$$ wherea, b, c are nonegative real numbers,k, l, m are nonnegative integers andg(x) is a nonegative real function. The oscillatory and periodic character, the boundedness and the stability of positive solutions of the equation is investigated. The existence and nonexistence of two-period positive solutions are investigated in details. In the last section of the paper we consider a generalization of the equation. 相似文献
9.
Let ∫ be a holomorphic function on the unit polydisc Dn, with Taylor expansion ∫(z)= ∞∑|k|=0αkzk(=)∞∑k1+…+kn=0 αk1, …,knZk11…Zknn where k=(k1,…, kn)∈Zn+. The authors define generalized Hilbert operator on Dn by Hγ,n(f)(z)=∞ ∑|k|=0i1,…in≥0αi1,…,inn∏j=1Γ(γj+kj+1) Γ(kj+ij+1)/Γ(kj+1) Γ(kj+ij+γj+2)zk,where γ∈Cn, such that Rγj -1,j = 1,2,…,n. An upper bound for the norm of the operator on Hardy spaces Hp(Dn) is found. The authors also present a Fejér-Riesz type inequality on the weighted Bergman space on Dn and find an invariant space for the generalized Hilbert operator. 相似文献
10.
Stevo Stević 《Siberian Mathematical Journal》2009,50(3):495-497
This addendum to [1] completely characterizes the boundedness and compactness of a recently introduced integral type operator from the space of bounded holomorphic functions H ∞(\(\mathbb{D}^n \)) on the unit polydisk \(\mathbb{D}^n \) to the mixed norm space with p, q ∈ [1,∞) and α = (α1, ..., α n ) such that α j > ?1 for every j = 1, ..., n. We show that the operator is bounded if and only if it is compact and if and only if g ∈ , where \(\vec q\) = (q, ..., q).
相似文献