Riesz spaces with generalized Orlicz growth

Autor: Hästö, Peter, Juusti, Jonne, Rafeiro, Humberto

We consider a Riesz $\phi$-variation for functions $f$ defined on the real line when $\varphi:\Omega\times[0,\infty)\to[0,\infty)$ is a generalized $\Phi$-function. We show that it generates a quasi-Banach space and derive an explicit formula for the

Externí odkaz: http://arxiv.org/abs/2204.14128

On the Complexiton Solutions to the Conformable Fractional Hirota–Satsuma–Ito Equation.

Autor: Ismael, Hajar F., Arif, Özkul, Murad, Muhammad Amin S., Bulut, Hasan, Shah, Nehad Ali, Ahmed, Shams Forruque, Rafeiro, Humberto

Publikováno v: Journal of Mathematics; 10/25/2024, Vol. 2024, p1-11, 11p

Boundedness of Commutators of Singular and Potential Operators in Generalized Grand Morrey Spaces and some applications

Autor: Kokilashvili, Vakhtang, Meskhi, Alexander, Rafeiro, Humberto

In the setting of homogeneous spaces (X,d,{\mu}), it is shown that the commutator of Calder\'on- Zygmund type operators as well as commutator of potential operator with BMO function are bounded in generalized Grand Morrey space. Interior estimates fo

Externí odkaz: http://arxiv.org/abs/1205.6709

A note on boundedness of operators in Grand Grand Morrey spaces

Autor: Rafeiro, Humberto

Publikováno v: In Advances in harmonic analysis and operator theory, volume 229 of Oper. Theory Adv. Appl., pages 349-356. Birkhauser/Springer Basel AG, Basel, 2013

In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the

Externí odkaz: http://arxiv.org/abs/1109.2550

Kolmogorov compactness criterion in variable exponent Lebesgue spaces

Autor: Rafeiro, Humberto

Publikováno v: Proc. A. Razmadze Math. Inst. 150 (2009), 105-113.

The well-known Kolmogorov compactness criterion is extended to the case of variable exponent Lebesgue spaces $L^{p(\cdot)}({\Omega})$, where $\Omega$ is a bounded open set in $\mathbb R^n$ and $p(\cdot)$ satisfies some "standard" conditions. Our fina

Externí odkaz: http://arxiv.org/abs/0903.3214