Mitsuru Sugimoto

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math.FA2007

On the $L^{2}$ -boundedness of pseudo-differential operators and their commutators with symbols in $α$ -modulation spaces

Masaharu Kobayashi, Mitsuru Sugimoto, Naohito Tomita

In this paper, we consider the $L^{2}$ -boundedness of pseudo-differential operators with symbols in $α$ -modulation spaces.

math.FA2007

Boundedness properties of pseudo-differential operators and Calderón-Zygmund operators on modulation spaces

Mitsuru Sugimoto, Naohito Tomita

In this paper, we study the boundedness of pseudo-differential operators with symbols in $S_{ρ, δ}^{m}$ on the modulation spaces $M^{p, q}$ . We discuss the order $m$ for the boundednes…

On the L2-boundedness of pseudo-differential operators and their commutators with symbols in α-modulation spaces

Boundedness properties of pseudo-differential operators and Calderón-Zygmund operators on modulation spaces

On the $L^{2}$ -boundedness of pseudo-differential operators and their commutators with symbols in $α$ -modulation spaces