Results 51 to 60 of about 4,962 (192)

On the Fourier transform of measures in Besov spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak, Daniel Spector, Dmitriy Stolyarov   +2 more
wiley   +1 more source

Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents

Journal of Function Spaces, 2014
Our aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable.
Liwei Wang
doaj   +1 more source

BMO-estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

, 2013
It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U., Gogoladze, L., Karagulyan, G.   +2 more
core   +1 more source

The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis, José Luis Luna‐Garcia, Eric T. Sawyer, Ignacio Uriarte‐Tuero   +3 more
wiley   +1 more source

A Decomposition of the Dual Space of Some Banach Function Spaces

Journal of Function Spaces and Applications, 2012
We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
doaj   +1 more source

Duality and Lorentz-Marcinkiewicz operator spaces.

MATHEMATICA SCANDINAVICA, 1988
Let \(S_{\phi,q}\) be the collection of all compact operators T on a (complex) Hilbert space H such that (INVALID INPUT)\(\sigma_{\phi,q}(T)=(\sum^{\infty}_{n=1}(\phi (n)s_ n(T))^{q_ n-1})^{1/q}
openaire   +3 more sources

The Concise Guide to PHARMACOLOGY 2025/26: Catalytic receptors

British Journal of Pharmacology, Volume 182, Issue S1, Page S259-S306, December 2025.
The Concise Guide to Pharmacology 2025/26 marks the seventh edition in this series of biennial publications in the British Journal of Pharmacology. Presented in landscape format, the guide provides a comparative overview of the pharmacology of drug target families. The concise nature of the Concise Guide refers to the style of presentation, being clear,
Stephen P. H. Alexander, Doriano Fabbro, Chloe J. Peach, Alasdair J. Gibb, Eamonn Kelly, Alistair A. Mathie, Emma L. Veale, Jane F. Armstrong, Elena Faccenda, Simon D. Harding, Christopher Southan, Jamie A. Davies, Annie Beuve, Peter Brouckaert, Clare Bryant, John C. Burnett, Richard W. Farndale, Andreas Friebe, John Garthwaite, Adrian J. Hobbs, Gavin E. Jarvis, Laura Kilpatrick, Doris Koesling, Michaela Kuhn, Birgit Leitinger, David MacEwan, Tom P. Monie, Lincoln R. Potter, Michael Russwurm, Harald H. H. W. Schmidt, Johannes‐Peter Stasch, Scott A. Waldman   +31 more
wiley   +1 more source

Optimality of embeddings in Orlicz spaces

Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.
Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
wiley   +1 more source

Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent

Journal of Function Spaces, 2018
Let Ω∈Ls(Sn-1) for s⩾1 be a homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable ...
Hongbin Wang, Dunyan Yan
doaj   +1 more source

Concentration inequalities for upper probabilities

Journal of Inequalities and Applications, 2020
In this paper, we obtain a Bernstein-type concentration inequality and McDiarmid’s inequality under upper probabilities for exponential independent random variables.
Yuzhen Tan
doaj   +1 more source