Results 41 to 50 of about 372 (181)
SOME EMBEDDINGS RELATED TO HOMOGENEOUS TRIEBEL–LIZORKIN SPACES AND THE BMO FUNCTIONS
As the homogeneous Triebel–Lizorkin space $\dot{F}_{p,q}^s$ and the space BMO are defined modulo polynomials and constants, respectively, we prove that BMO coincides with the realized space of $\dot{F}_{\infty, 2}^0$ and cannot be directly identified ...
B. Gheribi, M. Moussai
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The author has as his main theme the dependence of solutions to the Beltrami equation (*) \(F_{\bar z}=\mu F_ z\) and connections to Teichmüller theory and harmonic analysis.
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Emergent Freestanding Complex Oxide Membranes for Multifunctional Applications
This review surveys freestanding oxide membranes and covers fabrication and three pathways for studies and devices: strain‐free and strained membranes, and van der Waals‐integrated heterostructures. We show how coupled oxide responses map onto these routes and cross‐couple to expand behaviors.
Baowen Li +6 more
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Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents
In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.
Shengrong Wang, Jingshi Xu
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Some weighted inequalities for Hausdorff operators and commutators
In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of
Amjad Hussain, Amna Ajaib
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BMO Spaces Associated to Generalized Parabolic Sections
Summary: Parabolic sections were introduced by \textit{Q. B. Huang} [Trans. Am. Math. Soc. 351, No. 5, 2025-2054 (1999; Zbl 0915.35046)] to study the parabolic Monge-Ampère equation. In this note, we introduce the generalized parabolic sections \({\mathcal P}\) and define \(\text{BMO}^q_{\mathcal P}\) spaces related to these sections. We then establish
Qu, Meng, Wu, Xinfeng
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Carbon Dot–Directed Sustainable Defect Engineering in CoMoO4 for High‐Performance Supercapacitors
Carbon dots (CDs) direct oxygen‐vacancy engineering in CoMoO4 via a solvent‐free mechanochemical route, enhancing surface area, electronic conductivity and electrochemical stability for high‐performance supercapacitors. Defect engineering via oxygen vacancy modulation represents a pivotal strategy in designing high‐performance electrode materials ...
Arun Annamalai +8 more
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Boundedness of Commutators of High-Dimensional Hausdorff Operators
We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
Guilian Gao, Houyu Jia
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This review summarizes advances in bone organoid research over the last 5 years, addressing their definition, distinctive characteristics, construction methods, and applications. It highlights pivotal technologies, contrasts organoid‐based platforms with conventional regeneration methodologies, and explores emerging directions. By recapitulating native
Le Xiao +12 more
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The fractional Lipschitz caloric capacity of Cantor sets
Abstract We characterize the s$s$‐parabolic Lipschitz caloric capacity of corner‐like s$s$‐parabolic Cantor sets in Rn+1$\mathbb {R}^{n+1}$ for 1/2
Joan Hernández
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