Add to ORKGThe Hardy spaces for Fourier integral operators $\mathcal{H}_{FIO}^{p}(\mathbb{R}^{n})$, for $1\leq p\leq \infty$, were introduced by Smith in [Smith,1998] and Hassell et al. in [Hassell-Portal-Rozendaal,2020]. In this article, we give several equivalent characterizations of $\mathcal{H}_{FIO}^{1}(\mathbb{R}^{n})$, for example in terms of Littlewood--Paley $g$ functions and maximal functions. This answers a question from [Rozendaal,2021]. We also give several applications of the characterizations.Comment: 24 pages. Minor changes to the previous version. To appear in Studia Mathematic
In this paper we give quantitative bounds for the norms of different kinds of singular integral oper...
AbstractLetGbe a real rank one semisimple Lie group andKa maximal compact subgroup ofG. Radial maxim...
In Fourier analysis on Euclidean space, results often hold for the whole scale of Lebesgue spaces Lp...
We prove mapping properties of pseudodifferential operators with rough symbols on Hardy spaces for F...
We show boundedness of multiplication operators $M_g$ on Hardy spaces for Fourier integral operators...
summary:In this paper, it is proved that the Fourier integral operators of order $m$, with $-n < m \...
summary:In this paper, it is proved that the Fourier integral operators of order $m$, with $-n < m \...
In the recent work [23], one studied Fourier multiplies on graded Lie groups defined via group Fouri...
We show that the Hardy spaces for Fourier integral operators form natural spaces of initial data whe...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We prove the global $L^p$-boundedness of Fourier integral operators that model the parametrices for ...
We consider wave equations with time-independent coefficients that have $C^{1,1}$ regularity in spac...
We consider wave equations with time-independent coefficients that have $C^{1,1}$ regularity in spac...
For $0\ltp\le1$, let $h^p(\mathbb{R}^n)$ denote the local Hardy space. Let $\mathcal{F}$ be a Fourie...
In this paper we give quantitative bounds for the norms of different kinds of singular integral oper...
AbstractLetGbe a real rank one semisimple Lie group andKa maximal compact subgroup ofG. Radial maxim...
In Fourier analysis on Euclidean space, results often hold for the whole scale of Lebesgue spaces Lp...
We prove mapping properties of pseudodifferential operators with rough symbols on Hardy spaces for F...
We show boundedness of multiplication operators $M_g$ on Hardy spaces for Fourier integral operators...
summary:In this paper, it is proved that the Fourier integral operators of order $m$, with $-n < m \...
summary:In this paper, it is proved that the Fourier integral operators of order $m$, with $-n < m \...
In the recent work [23], one studied Fourier multiplies on graded Lie groups defined via group Fouri...
We show that the Hardy spaces for Fourier integral operators form natural spaces of initial data whe...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We prove the global $L^p$-boundedness of Fourier integral operators that model the parametrices for ...
We consider wave equations with time-independent coefficients that have $C^{1,1}$ regularity in spac...
We consider wave equations with time-independent coefficients that have $C^{1,1}$ regularity in spac...
For $0\ltp\le1$, let $h^p(\mathbb{R}^n)$ denote the local Hardy space. Let $\mathcal{F}$ be a Fourie...
In this paper we give quantitative bounds for the norms of different kinds of singular integral oper...
AbstractLetGbe a real rank one semisimple Lie group andKa maximal compact subgroup ofG. Radial maxim...
In Fourier analysis on Euclidean space, results often hold for the whole scale of Lebesgue spaces Lp...