Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces [PDF]
Summary: Under the assumption that \((\mathcal{X}, d, \mu)\) is a non-homogeneous metric measure space, the authors prove that the Marcinkiewicz integral operator is bounded from the molecular Hardy space \(\tilde{H}_{mb,\rho}^{p,q\gamma,\varepsilon}(\mu)\)(or the atomic Hardy space \(\tilde{H}_{atb,\rho}^{p,q,\gamma}(\mu))\) into the Lebesgue space ...
Li, Haoyuan, Lin, Haibo
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GENERALIZED FRACTIONAL INTEGRALS AND THEIR COMMUTATORS OVER NON-HOMOGENEOUS METRIC MEASURE SPACES
Taiwanese J. Math. (to appear)
Fu, Xing, Yang, Dachun, Yuan, Wen
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<abstract><p>Let $ {\mathcal{I}_{\alpha, m}} $ be the multilinear $ \theta $-type generalized fractional integrals and $ \vec{b}_{\sigma} $ be the vector with each $ b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right) $. The boundedness for $ {\mathcal{I}_{\alpha, m}} $ and the iterated multi-commutators $ {\mathcal{I}_{\alpha, m ...
Xiangxing Tao, Jiahui Wang
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Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces [PDF]
15 ...
Peng Chen, Adam Sikora, Lixin Yan
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Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
Let $({\mathcal X}, d, )$ be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. In this paper, the authors introduce the space ${\mathop\mathrm{RBLO}}( )$ and prove that it is a subset of the known space ${\mathop\mathrm{RBMO}}( )$ in this context.
Lin, Haibo, Yang, Dachun
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The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghui, Cao, Jiang, Zhou
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COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES
Let $(X,d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO( )$ function on non-homogeneous metric ...
Xie, Rulong, Gong, Huajun, Zhou, Xiaoyao
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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a
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An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
wiley +1 more source
Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
wiley +1 more source

