Results 21 to 30 of about 5,067 (292)
Weighted Hardy and singular operators in Morrey spaces
Journal of Mathematical Analysis and Applications, 2009 We study the weighted boundedness of the Cauchy singular integral operator $S_\Gm$ in Morrey spaces $L^{p,λ}(\Gm)$ on curves satisfying the arc-chord condition, for a class of "radial type" almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve.
Natasha Samko
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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
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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
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Variational characterizations of weighted Hardy spaces and weighted spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
Guo, Weichao +3 more
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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
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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
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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 +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 +3 more
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The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators
, 2023 summary:We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting.
He, Suixin, Tao, Shuangping
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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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