Results 81 to 90 of about 1,125 (122)
The well-known Hutchinson’s theorem states that if P be a polynomial with positive coefficients, P(x) = ∑k=0 akx k , and ak−1 ak−2ak 4 for k = 2,3, . . . ,n , then all the zeros of P are real. We obtain sufficient conditions for a real polynomial to be a
I. Karpenko, A. Vishnyakova
semanticscholar +1 more source
Full range boundedness of bilinear Hilbert transform along certain polynomials
Let P and Q be two polynomials without constant term. Assume that the operator BP,Q( f ,g)(x) = ∫ f (x−P(t))g(x−Q(t)) dt t is bounded from Lp1 × Lp2 into Lr , p1, p2 ∈ (1,∞), 1 p1 + 1 p2 = r . It is proved that if P ′(t) > 0 for all t = 0 , then r d d+1 .
D. Dong
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On the eleventh question of Allen Shields
In this article, we will give sufficient conditions for the boundedness of the analytic projection on the set of multipliers of the formal Laurent series spaces. This answers a question that has been raised by A. L. Shields.
Kashkooly Ali, Yousefi Bahmann
doaj
B-statistical A-summability in conservative approximation
This paper deals with the approximation of functions by sequences of linear operators via B -statistical A -summability. Quantitative results and asymptotic formulae are stated under a conservative approximation setting.
D. Cárdenas-Morales, P. Garrancho
semanticscholar +1 more source
Essential norm of the weighted differentiation composition operator between Bloch-type spaces
We give some characterizations for the boundedness and compactness of weighted differentiation composition operator Dφ,u between different Bloch spaces, and also estimate the essential norms of the operator, complementing some recent results in the ...
Cui Chen, Yu-Xia Liang
semanticscholar +1 more source
Estimates of essential norm of the Li-Stević integral type operator between Zygmund type spaces
For an analytic selfmap φ of the open unit disc D and an analytic function g on D , the Li-Stević integral type operator C φ is given by ( C φ f ) (z) = ∫ z 0 f ′(φ(ξ ))g(ξ )dξ .
A. Sanatpour
semanticscholar +1 more source
Limiting ultrasymmetric sequence spaces
The paper gives an analytic characterization of a class of ultrasymmetric sequence spaces that are very close to ∞ . We introduce discrete descriptions of limiting J and K interpolation methods, and we apply the results and the techniques developed to ...
P. Fernández-Martínez, T. Signes
semanticscholar +1 more source
Operators commuting with complex symmetric weighted composition operators on H 2
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
doaj +1 more source
Multiplication operators on the space of functions of bounded variation
In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R. +1 more
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A new family of multivalent functions defined by certain forms of the quantum integral operator
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal +5 more
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