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Compactly Supported Refinable Distributions in Triebel-Lizorkin Spaces and Besov Spaces.

Bolin Ma; Qiyu Sun — 1999

The journal of Fourier analysis and applications [[Elektronische Ressource]]

The Fourier integral operators on Hardy spaces associated with Herz spaces

Lixia Liu; Bolin Ma; Sanyang Liu — 2011

Czechoslovak Mathematical Journal

In this paper, it is proved that the Fourier integral operators of order $m$ , with $- n < m \leq - (n - 1) / 2$ , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.

On the characterization of harmonic functions with initial data in Morrey space

Bo Li; Jinxia Li; Bolin Ma; Tianjun Shen — 2024

Czechoslovak Mathematical Journal

Let $(X, d, μ)$ be a metric measure space satisfying the doubling condition and an $L^{2}$ -Poincaré inequality. Consider the nonnegative operator $ℒ$ generalized by a Dirichlet form on $X$ . We will show that a solution $u$ to $(- \partial_{t}^{2} + ℒ) u = 0$ on $X \times ℝ_{+}$ satisfies an $α$ -Carleson condition if and only if $u$ can be represented as the Poisson integral of the operator $ℒ$ with the trace in the generalized Morrey space $L^{2, α} (X)$ , where $α$ is a nonnegative function defined on a class of balls in $X$ . This result extends the analogous characterization founded...

Herz-type Besov spaces on locally compact Vilenkin groups.

Tang, Canqin; Li, Qingguo; Ma, Bolin — 2006

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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