Results 11 to 20 of about 4,397 (258)
Weighted Hardy Spaces of Quasiconformal Mappings [PDF]
The Journal of Geometric Analysis, 2022 We establish a weighted version of the $H^p$-theory of quasiconformal mappings.
Sita Benedict, Pekka Koskela, Xining Li
openaire +4 more sources
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
doaj +1 more source
Pseudodifferential Operators on Weighted Hardy Spaces [PDF]
Journal of Function Spaces, 2020 We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap. The first one is an estimate from Hω1ℝn into Lω1ℝn. We get a better range of admissible p and m.
Yu-long Deng, Shun-chao Long
openaire +2 more sources
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 decomposition problemin weighted Hardy space [PDF]
Banach Center Publications, 2019 We study in this paper the problem of decomposition of functions in the Paley–Wiener space into the sum of two functions, each being “large” only on some part of the complex plane.
Volodymyr Dilnyi, Khrystyna Huk
openaire +2 more sources
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 +3 more
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 +2 more
doaj +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
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 È, a holomorphic function in BN, and Õ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (CÈ,Õ)f=È ...
Cheng Yuan, Ze-Hua Zhou
doaj +2 more sources
On the intersection of weighted Hardy spaces
Carpathian Mathematical Publications, 2016 Let $H^p_\sigma( \mathbb{C}_+),$ $1\leq p <+\infty,$ $0\leq \sigma < +\infty,$ be the space of all functions $f$ analytic in the half plane $ \mathbb{C}_{+}= \{ z: \text {Re} z>0 \}$ and such that $$\|f\|:=\sup\limits_{\varphi\in (-\frac{\pi}{2};\frac{\pi}{2})}\left\{\int\limits_0^{+\infty} |f(re^{i\varphi})|^pe^{-p\sigma r|\sin \varphi|}dr\
Dilnyi, V. M., Hishchak, T. I.
openaire +3 more sources