The Generalized Grand Wiener Amalgam Spaces and the boundedness of Hardy-Littlewood maximal operators

Autor:	Gürkanlı, A. Turan
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	In [17], we defined and investigated the grand Wiener amalgam space $W(L^{p),\theta_1}(\Omega), L^{q),\theta_2}(\Omega))$ by using the classical grand Lebesgue spaces, where $10, \theta_2>0$ and the measure of $\Omega$ is finite. In the present paper we generalize this space and define the generalized grand Wiener amalgam space $W(L_{a}^{p)}(\mathbb R^{n}), L_{b}^{q)}(\mathbb R^{n})),$ where $L_{a}^{p)}(\mathbb R^{n})$ and $L_{b}^{q)}(\mathbb R^{n}),$ are the generalized grand Lebesgue spaces. Later we investigate some basic properties. Next we study embeddings for these spaces and we discuss boundedness and unboundedness of the Hardy-Littlewood maximal operator between some generalized grand Wiener amalgam spaces. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.02406 Zobrazit plný text záznamu View this record from Arxiv