Results 31 to 40 of about 138,679 (278)

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

open access: yesҚарағанды 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   +2 more
doaj   +2 more sources

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

open access: yesПроблемы 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   +3 more
doaj   +1 more source

Blaschke Decompositions on Weighted Hardy Spaces [PDF]

open access: yesJournal 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 ...
openaire   +3 more sources

Complex Symmetric Weighted Composition Operators on the Hardy Space

open access: yesCzechoslovak Mathematical Journal, 2020
This paper identifies a class of complex symmetric weighted composition operators on H2(D) that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon ...
Cao Jiang, Shi-an Han, Ze‐hua Zhou
semanticscholar   +1 more source

Rhaly Operators on Small Weighted Hardy Spaces [PDF]

open access: yesActa 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
openaire   +3 more sources

Hardy spaces meet harmonic weights

open access: yesTransactions of the American Mathematical Society, 2022
We investigate the Hardy space H L 1 H^1_L associated with a self-adjoint operator  L L defined in a general setting by Hofmann, Lu, Mitrea, Mitrea, and Yan [Mem. Amer. Math. Soc. 214 (2011), pp. vi+78]. We assume that there exists an L L -harmonic non-negative function
Preisner, Marcin   +2 more
openaire   +3 more sources

Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

open access: yesAnalele 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
doaj   +1 more source

Sobolev–Hardy space with general weight

open access: yesJournal of Mathematical Analysis and Applications, 2006
In this paper, the authors prove the following \(k\)th order Hardy inequality with general weight. Let \(\Omega\) be a bounded domain. Then, under the assumptions \((H_1)\) and \((H_2)\), for each positive integer \(k\) the inequality \[ \int_{\Omega}\phi|\nabla u|^2\,dx-\int_{\Omega}\phi\sum_{i=1}^{k}\left(\frac{h_i'}{h_i}\right)^2u^2\,dx\geq\int_ ...
Shen, Yaotian, Chen, Zhihui
openaire   +1 more source

Some weighted fourth-order Hardy-Hénon equations [PDF]

open access: yesJournal of Functional Analysis, 2022
. By using a suitable transform related to Sobolev inequality, we investigate the sharp con- stants and optimizers in radial space for the following weighted Caffarelli-Kohn-Nirenberg-type inequalities: ≥ 3, − .
Shengbing Deng, Xingliang Tian
semanticscholar   +1 more source

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

open access: yesAbstract and Applied Analysis, 2010
The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here.
Stevo Stević
doaj   +1 more source

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