Results 21 to 30 of about 138,679 (278)
The dual of the Hardy space associated with the Dunkl operators [PDF]
Advances in Mathematics, 2022 The rational Dunkl operators are commuting differential-reflection operators on the Euclidean space R d associated with a root system, that contain some non-local refection terms, and the associated Hardy space is defined by means of the Riesz transforms ...
Jiaxi Jiu, Zhongkai Li
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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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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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Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces [PDF]
Mathematische Nachrichten, 2021 The behavior of certain weighted Hardy‐type operators on rearrangement‐invariant function spaces is thoroughly studied. Emphasis is put on the optimality of the obtained results. First, the optimal rearrangement‐invariant function spaces guaranteeing the
Zdeněk Mihula
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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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Weak factorizations of the Hardy space in terms of multilinear fractional integral operator [PDF]
Journal of Mathematical Analysis and Applications, 2021 We give a constructive proof of the factorization theorem for the classical Hardy space in terms of fractional integral operator. Moreover, the result is extended to the multilinear case and weighted case.
Dinghuai Wang, Rongxiang Zhu
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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 +2 more
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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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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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