Results 21 to 30 of about 126 (123)
Sparse bilinear forms for Bochner Riesz multipliers and applications
Transactions of the London Mathematical Society, Volume 4, Issue 1, Page 110-128, December 2017., 2017 Abstract We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way,
Cristina Benea +2 more
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Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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Journal of Function Spaces, Volume 9, Issue 3, Page 245-282, 2011., 2011 Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey‐Campanato spaces ερα,p(χ) and Morrey‐Campanato‐BLO spaces ε̃ρα,p(χ) when α ∈ (−∞, 0) and p ∈ [1, ∞).
Haibo Lin +3 more
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The Boundedness of Commutators of Singular Integral Operators with Besov Functions
Journal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010 In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao +2 more
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Regularity for commutators of the local multilinear fractional maximal operators
Advances in Nonlinear Analysis, 2020 In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures
Journal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009 Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
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Some estimates for commutators of Littlewood-Paley g-functions
Open Mathematics, 2021 The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
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The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
Journal of Function Spaces, Volume 5, Issue 3, Page 319-331, 2007., 2007 The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1, 1) type inequality for the corresponding Hardy‐Littlewood maximal operator.
Lasha Ephremidze +3 more
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Open Mathematics, 2021 If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
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