Results 41 to 50 of about 1,199,843 (260)
Sharp weak bounds for fractional Hardy-type operators on homogeneous groups
In this paper, we establish weak bounds for fractional Hardy operators on central Morrey spaces within the framework of homogeneous groups. We provide precise operator norms and investigate weak bounds for Hardy operators on central Morrey spaces with ...
Hongbin Liu, Juan Zhang, Qianjun He
doaj +1 more source
Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators
We establish the weighted estimates for the commutators HΩ,b and HΩ,b∗ which are generated by the n-dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces.
Zhuanxi Ren, Shuangping Tao
doaj +1 more source
Inequalities with angular integrability and applications [PDF]
We prove an extension of the Stein-Weiss weighted estimates for fractional integrals, in the context of Lp spaces with different integrability properties in the radial and the angular direction.
Lucà, Renato
core +3 more sources
Eigenvalue Estimates on Weighted Manifolds
AbstractWe derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for f-minimal
Branding, Volker, Habib, Georges
openaire +3 more sources
ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker +7 more
wiley +1 more source
Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn).
Songbai Wang, Yinsheng Jiang, Peng Li
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
Weighted $L^p$ estimates for the elliptic Schrödinger operator
In this paper we study weighted $L^p$ estimates for the elliptic Schrödinger operator $P=-\Delta +V(x) $ with non-negative potentials $V(x)$ on $\mathbb{R}^n~(n\geq 3)$ which belongs to certain reverse Hölder class.
Fengping Yao
doaj +1 more source
The current article investigates the boundedness criteria for the commutator of rough p-adic fractional Hardy operator on weighted p-adic Lebesgue and Herz-type spaces with the symbol function from weighted p-adic bounded mean oscillations and weighted p-
Naqash Sarfraz +3 more
doaj +1 more source
Mechanisms of parasite‐mediated disruption of brain vessels
Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira +3 more
wiley +1 more source

