Weak type estimates for Bochner--Riesz means on Hardy-type spaces associated with ball quasi-Banach function spaces

Let $X\left(\mathbb{R}^{n}\right)$ be a ball quasi-Banach function space on $\mathbb{R}^{n}$, $WX\left(\mathbb{R}^{n}\right)$ be the weak ball quasi-Banach function space on $\mathbb{R}^{n}$, $H_{X}\left(\mathbb{R}^{n}\right)$ be the Hardy space associated with $X\left(\mathbb{R}^{n}\right)$ and $WH_{X}\left(\mathbb{R}^{n}\right)$ be the weak Hardy space associated with $X\left(\mathbb{R}^{n}\right)$. In this paper, we obtain the boundedness of the Bochner--Riesz means and the maximal Bochner--Riesz means from $H_{X}\left(\mathbb{R}^{n}\right)$ to $WH_{X}\left(\mathbb{R}^{n}\right)$ or $WX\left(\mathbb{R}^{n}\right)$, which includes the critical case. Moreover, we apply these results to several examples of ball quasi-Banach function spaces, namely, weighted Lebesgue spaces, Herz spaces, Lorentz spaces, variable Lebesgue spaces and Morrey spaces. This shows that all the results obtained in this article are of wide applications, and more applications of these results are predictable.Comment: 30 pages. arXiv admin note: text overlap with arXiv:1905.02097 by other author

Analysis and optimization of drum washing machine vibration isolation system based on rigid-flexible virtual prototype model

In order to improve the calculation accuracy of vibration response in drum washing machine isolation system, a new CAE method is proposed for dynamics analysis and parameter optimization according to the rigid-flexible coupling technology of virtual prototype. With the vector loop algorithm, the motion differential equation of the vibration isolation system is solved based on Lagrange method, and the key parameters that affect the vibration response are acquired. In terms of simulation research, the modal neutral file (MNF) of the shell body is established by the software ANSYS for modal analysis, and it is exported into software platform ADAMS/Vibration to establish the rigid-flexible coupling model. Through the coupling model, the kinetic characteristics are calculated in continuous excitation frequency domain (0-20 Hz). The experimental verification is accomplished by LMS Test.Lab device, of which results shows that the rigid-flexible coupling simulation method is definitely accurate and feasible. Meanwhile, 15 “hot spots” of the shell body are obtained from the ADAMS/Durability module, which can provide an important basis for structure design. Then, the spring stiffness and damping coefficient is synthetically optimized by sensitivity analysis method with 9 time’s iterative calculation, which has a great significance for product development

Gene Therapy Using a miniCEP290 Fragment Delays Photoreceptor Degeneration in a Mouse Model of Leber Congenital Amaurosis

Mutations in the cilia-centrosomal protein CEP290 are frequently observed in autosomal recessive childhood blindness disorder Leber congenital amaurosis (LCA). No treatment or cure currently exists for this disorder. The Cep290(rd16) (retinal degeneration 16) mouse (a model of LCA) carries a mutation in the Cep290 gene. This mutation leads to shorter cilia formation and defective photoreceptor structure and function. A roadblock to developing a gene replacement strategy for CEP290 using conventional adeno-associated virus (AAV) vectors is its large size. The identification and characterization is reported of a miniCEP290 gene that is amenable to AAV2/8-mediated delivery and delaying retinal degeneration in the Cep290(rd16) mice. Using the ability of Cep290(rd16) mouse embryonic fibroblasts to from shorter cilia as a platform, a human CEP290 domain encoded by amino acids 580-1180 (miniCEP290(580-1180)) was identified that can recover the cilia length in vitro. Furthermore, subretinal injection of AAV particles carrying the cDNA expressing miniCEP290(580-1180) into neonatal Cep290(rd16) mice resulted in significantly improved photoreceptor survival, morphology, and function compared to control injected mice. These studies show the potential of using a truncated CEP290 to treat this fast progressing and devastating disease

Prenylated retinal ciliopathy protein RPGR regulates ciliary localization of Joubert Syndrome-associated protein INPP5E in cooperation with PDE6

Ciliary dysfunction is an underlying cause of severe human disorders (collectively called ciliopathies), such as retinitis pigmentosa (RP), Joubert Syndrome (JBTS), and Bardet-Biedl Syndrome. Ciliary proteins form distinct functional networks for localization to cilia as well as regulation of ciliary function. However, not much is known about the mechanism of ciliary localization and function of RPGR (retinitis pigmentosa GTPase regulator), a ciliary protein frequently associated with RP worldwide. Using tandem mass spectrometry analysis, we show that RPGR interacts with two JBTS-associated proteins: PDE6Π (delta subunit of Phosphodiesterase; a prenyl-binding protein) and INPP5E (inositol polyphosphate-5-phosphatase 5E; a ciliary cargo). Whereas PDE6Π binds in a prenylation-dependent manner to the C-terminus of RPGR, INPP5E associates with the N-terminus of RPGR. Prenylation and interaction of RPGR with PDE6Π are critical for its localization to cilia. We further show that loss of RPGR results in reduced amount of INPP5E in cilia of fibroblasts and in photoreceptor outer segment, a modified sensory cilium. Overall, our results suggest that RPGR, in complex with PDE6D, regulates the trafficking of ciliary cargo INPP5E and implicate reduction in ciliary INPP5E in the pathogenesis of RPGR-ciliopathy

Optimization of structural and operational parameters for the multi-size sinter vertical waste heat recovery with the objective of the income exergy

To be consistent with the actual production, this paper establishes the 2-D steady-state mathematical model of the porous media to numerically analyze influences of structural and operational parameters on the vertical cooling process by applying particle characteristic parameters, and heat transfer and resistance correlations of the multi-size sinter. Considering comprehensive effects of the temperature and pressure drop, the operating and structural parameters are optimized with the objective of the maximum income exergy of the gas. Results show that the numerical model established in this paper can well predict the gas-solid heat transfer process in the sinter bed with the maximum error of 7%. Besides, the income exergy of the gas increases and decreases with the sinter outlet temperature and gas outlet temperature increasing, respectively. The reduction in the equivalent particle diameter is conducive to improving the income exergy. What’s more, the income exergy of the gas first ascends and then descends with the increase of the flow rate ratio of gas to sinter and the height of the sinter layer. Therefore, optimal values of the flow rate ratio of the gas to sinter and the height of the sinter layer are 1,050–1,540 m3·h−1 and 7–11.5 m within the scope of this study, respectively

Study on effect of the inner vortex finder length on the flow properties of the hydrocyclone with double vortex finders

The traditional hydrocyclone can only obtain two products: overflow and underflow. In the paper, we propose three-products hydrocyclone with double vortex finders. The hydrocyclone is designed with two coaxial overflow tubes with different diameters. During overflow, light and fine particles exit from the inner overflow tube. The mid-size particles overflow from the outer overflow tube, and the coarse particles through the underflow pipe. Therefore, one classification can obtain three different narrow-grade-classification products. The inner vortex finder length is the important influent factor on the flow performance of the hydrocyclone. This paper is mainly focused on the study of the flow field of both the air and the liquid phase, and of the effects of the inner vortex finder length on the velocity field, pressure field and the air column of the hydrocyclone with double vortex finders

Robustar: Interactive Toolbox Supporting Precise Data Annotation for Robust Vision Learning

We introduce the initial release of our software Robustar, which aims to improve the robustness of vision classification machine learning models through a data-driven perspective. Building upon the recent understanding that the lack of machine learning model's robustness is the tendency of the model's learning of spurious features, we aim to solve this problem from its root at the data perspective by removing the spurious features from the data before training. In particular, we introduce a software that helps the users to better prepare the data for training image classification models by allowing the users to annotate the spurious features at the pixel level of images. To facilitate this process, our software also leverages recent advances to help identify potential images and pixels worthy of attention and to continue the training with newly annotated data. Our software is hosted at the GitHub Repository https://github.com/HaohanWang/Robustar.Comment: This paper introduces the first release of our software. The paper is expected to be updated as we continue to develop the softwar

Transcriptomic Shock Generates Evolutionary Novelty in a Newly Formed, Natural Allopolyploid Plant

SummaryNew hybrid species might be expected to show patterns of gene expression intermediate to those shown by parental species [1, 2]. “Transcriptomic shock” may also occur, in which gene expression is disrupted; this may be further modified by whole genome duplication (causing allopolyploidy) [3–16]. “Shock” can include instantaneous partitioning of gene expression between parental copies of genes among tissues [16–19]. These effects have not previously been studied at a population level in a natural allopolyploid plant species. Here, we survey tissue-specific expression of 144 duplicated gene pairs derived from different parental species (homeologs) in two natural populations of 40-generation-old allotetraploid Tragopogon miscellus (Asteraceae) plants. We compare these results with patterns of allelic expression in both in vitro “hybrids” and hand-crossed F1 hybrids between the parental diploids T. dubius and T. pratensis, and with patterns of homeolog expression in synthetic (S1) allotetraploids. Partitioning of expression was frequent in natural allopolyploids, but F1 hybrids and S1 allopolyploids showed less partitioning of expression than the natural allopolyploids and the in vitro “hybrids” of diploid parents. Our results suggest that regulation of gene expression is relaxed in a concerted manner upon hybridization, and new patterns of partitioned expression subsequently emerge over the generations following allopolyploidization