Results 11 to 20 of about 9,924 (199)

Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces

open access: yesJournal of Function Spaces and Applications, 2010
We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko   +2 more
doaj   +1 more source

Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder,
Nikolai Yu. Bakaev
doaj   +1 more source

A Fourier Analysis Based New Look at Integration

open access: yesAnnales Mathematicae Silesianae, 2023
We approach the problem of integration for rough integrands and integrators, typically representing trajectories of stochastic processes possessing only some Hölder regularity of possibly low order, in the framework of para-control calculus.
Imkeller Peter, Perkowski Nicolas
doaj   +1 more source

Regularity Properties and Lipschitz Spaces Adapted to High-Order Schrödinger Operators

open access: yesMathematics, 2022
Let be the high-order Schrödinger operator (−Δ)2+V2, where V is a non-negative potential satisfying the reverse Hölder inequality (RHq), with q>n/2 and n≥5.
Wei Chen, Chao Zhang
doaj   +1 more source

Derivative and Lipschitz Type Characterizations of Variable Exponent Bergman Spaces

open access: yesJournal of Function Spaces, 2018
We give derivative and Lipschitz type characterizations of Bergman spaces with log-Hölder continuous variable exponent.
Rumeng Ma, Jingshi Xu
doaj   +1 more source

Organoids in pediatric cancer research

open access: yesFEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

open access: yesFEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Conserved structural motifs in PAS, LOV, and CRY proteins regulate circadian rhythms and are therapeutic targets

open access: yesFEBS Letters, EarlyView.
Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman   +2 more
wiley   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

open access: yesFEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa   +5 more
wiley   +1 more source

New Classes of Weighted Hölder-Zygmund Spaces and the Wavelet Transform

open access: yesJournal of Function Spaces and Applications, 2012
We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces 𝒮0(ℝn) and 𝒮(ℍn+1).
Stevan Pilipović   +2 more
doaj   +1 more source

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