Results 11 to 20 of about 4,239 (245)

Interpolation between weighted Hardy spaces [PDF]

Proceedings of the American Mathematical Society, 1992
We prove that H p ( w 0 1 − s w 1 s ) {H^p}(w_0^{1 - s}w_1^s) is an interpolation space of exponent s s between
Cwikel, Michael, McCarthy, John E., Wolff, Thomas H.   +2 more
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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
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Hardy Spaces on Weighted Homogeneous Trees [PDF]

, 2020
17 pages; 2 ...
Arditti L., Tabacco A., Vallarino M.
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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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Contractive multipliers from Hardy space to weighted Hardy space [PDF]

Proceedings of the American Mathematical Society, 2017
It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
Ball, Joseph A., Bolotnikov, Vladimir
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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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Blaschke Decompositions on Weighted Hardy Spaces [PDF]

Journal of Fourier Analysis and Applications, 2020
Recently, several papers have considered a nonlinear analogue of Fourier series in signal analysis, referred to as either nonlinear phase unwinding or adaptive Fourier decomposition. In these processes, a signal is represented as the real component of a complex function $F: \partial\mathbb{D}\to \mathbb{C}$, and by performing an iterative method to ...
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Rhaly Operators on Small Weighted Hardy Spaces [PDF]

Acta Mathematica Vietnamica, 2018
Let $\beta= (\beta_n)$ be a sequence of positive real numbers such that $\sum_{n\geq 0}\beta_{n}^{-2}
Tan Pin Lin, Minh Luan Doan, Le Hai Khoi
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