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Weighted Calderón-Hardy spaces [PDF]

Mathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
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Weighted composition operators on Hardy–Smirnov spaces

Concrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +3 more sources

Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

Journal of Function Spaces and Applications, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
doaj   +3 more sources

Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
doaj   +1 more source

Reducing Subspaces for Toeplitz Operator Tz1k1z2k2+az¯1l1z¯2l2 on the Weighted Hardy Space over the Bidisk

Journal of Function Spaces, 2022
In this paper, we completely characterize the reducing subspaces for Tφa on weighted Hardy space ℋω2D2 under three assumptions on ω, where φa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1.
Changguo Wei, Xin Ding, Yanyue Shi
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Boundedness of One Class of Integral Operators from Second Order Weighted Sobolev Space to Weighted Lebesgue Space

Journal of Function Spaces, 2022
In the paper, for a certain class of Hardy operators with kernels, we consider the problem of their boundedness from a second order weighted Sobolev space to a weighted Lebesgue space.
Aigerim Kalybay
doaj   +1 more source

On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we consider the questions about the weighted integrability of the sum of series with respect to multiplicative systems with monotone coefficients.
M.Zh. Turgumbaev, Z.R. Suleimenova, D.I. Tungushbaeva   +2 more
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

Проблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari   +3 more
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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

Journal of Inequalities and Applications, 2007
Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN, and ϕ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (Cψ,ϕ)f=ψ ...
Cheng Yuan, Ze-Hua Zhou
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Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
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