"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30~July 2, 2014. edited by Hideo Kubo and Mitsuru Sugimoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.In this paper we generalize some results on the local bmo and Hardy space h^{1}, shown in [18] for doubling metric-measure spaces, to the setting of spaces of homogeneous type. These include a John-Nirenberg inequality for bmo, proved using a good-lambda inequality as well as by duality, the boundedness of the Hardy-Littlewood maximal function on bmo, and a characterization of h^{1} in terms of an atomic decomposition with an approximate moment condition on the atoms, together with the corresponding mean oscillation con...
The most important results of standard Calderón-Zygmund Theory have recently been extended to very g...
The main focus of this contribution is on the harmonic Bergman spaces $\mathcal{B}_{\alpha}^{p}$ on ...
We extend a well known result of Uchiyama, which gives a sufficient condition for a family of smooth...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a l...
AbstractThe notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, w...
It was well known that geometric considerations enter in a decisive way in many questions of harmoni...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
Suppose that (M,p,mu) is a metric measure space, which possesses two "geometric" properties, called ...
In this paper we defined a new Hardy-type spaces using atoms on homogeneous spaces which we call Hϕ,...
summary:We extend a result of Coifman and Dahlberg [{\it Singular integral characterizations of noni...
We investigate the Hardy space $H^1_L$ associated with a self-adjoint operator $L$ defined in a gene...
Abstract. Let X be a metric space with doubling measure, and L be a non-negative, self-adjoint opera...
We give a characterization of dyadic BMO spaces in terms of Haarwavelet coefficients in spaces of ho...
The most important results of standard Calderón-Zygmund Theory have recently been extended to very g...
The most important results of standard Calderón-Zygmund Theory have recently been extended to very g...
The main focus of this contribution is on the harmonic Bergman spaces $\mathcal{B}_{\alpha}^{p}$ on ...
We extend a well known result of Uchiyama, which gives a sufficient condition for a family of smooth...
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a R...
We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a l...
AbstractThe notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, w...
It was well known that geometric considerations enter in a decisive way in many questions of harmoni...
We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a w...
Suppose that (M,p,mu) is a metric measure space, which possesses two "geometric" properties, called ...
In this paper we defined a new Hardy-type spaces using atoms on homogeneous spaces which we call Hϕ,...
summary:We extend a result of Coifman and Dahlberg [{\it Singular integral characterizations of noni...
We investigate the Hardy space $H^1_L$ associated with a self-adjoint operator $L$ defined in a gene...
Abstract. Let X be a metric space with doubling measure, and L be a non-negative, self-adjoint opera...
We give a characterization of dyadic BMO spaces in terms of Haarwavelet coefficients in spaces of ho...
The most important results of standard Calderón-Zygmund Theory have recently been extended to very g...
The most important results of standard Calderón-Zygmund Theory have recently been extended to very g...
The main focus of this contribution is on the harmonic Bergman spaces $\mathcal{B}_{\alpha}^{p}$ on ...
We extend a well known result of Uchiyama, which gives a sufficient condition for a family of smooth...