Results 21 to 30 of about 4,424,757 (295)
Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]
, 2002 The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
core +4 more sources
Hardy Spaces on Weighted Homogeneous Trees [PDF]
, 2020 17 pages; 2 ...
Arditti, Laura +2 more
openaire +2 more sources
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
openaire +2 more sources
Abstract 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
Weighted multi-parameter mixed Hardy spaces and their applications [PDF]
, 2022 summary:Applying discrete Calderón's identity, we study weighted multi-parameter mixed Hardy space $H^{p}_{\rm mix}(\omega ,\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$.
Xu, Yun, Zhu, Yueping, Ding, Wei
core +1 more source
Sobolev–Hardy space with general weight
Journal 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
Weighted Lorentz Spaces and the Hardy Operator
Journal of Functional Analysis, 1993 The authors find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as simple consequence a generalization of the classical embeddings \(L^{p,1}\subset\cdots\subset L^ p\subset\cdots\subset L^{p,t}\) and a new definition of the weak space \(\Lambda^{p,t}_ u(w)\).
Carro, M.J., Soria, J.
openaire +2 more sources
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 ...
openaire +3 more sources
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
openaire +3 more sources
Generalized Hilbert operator on analytic function spaces [PDF]
Arab Journal of Mathematical SciencesPurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
doaj +1 more source