Naohito Tomita

most citedOn the Hörmander multiplier theorem and modulation spaces

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2008★ 3 cited

On the Hörmander multiplier theorem and modulation spaces

Naohito Tomita

It is known that the Sobolev space $L_{s}^{2}$ with $s > n /2$ appeared in the Hörmander multiplier theorem can be replaced by the Besov space $B_{n /2}^{2, 1}$ . On the other hand, the Beso…

math.FA2007

Trace ideals for pseudo-differential operators and their commutators with symbols in $α$ -modulation spaces

Masaharu Kobayashi, Mitsuru Sugimoto, Naohito Tomita

In this paper, we consider the trace property of pseudo-differential operators with symbols in $α$ -modulation spaces.

math.FA2007

A remark on fractional integrals on modulation spaces

Mitsuru Sugimoto, Naohito Tomita

In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces.

math.FA2007

A counterexample for boundedness of pseudo-differential operators on modulation spaces

Mitsuru Sugimoto, Naohito Tomita

We prove that pseudo-differential operators with symbols in the class $S_{1, δ}^{0}$ ( $0 < δ < 1$ ) are not always bounded on the modulation space $M^{p, q}$ ( $q \neq = 2$ ).

On the Hörmander multiplier theorem and modulation spaces

Trace ideals for pseudo-differential operators and their commutators with symbols in α-modulation spaces

A remark on fractional integrals on modulation spaces

A counterexample for boundedness of pseudo-differential operators on modulation spaces

Trace ideals for pseudo-differential operators and their commutators with symbols in $α$ -modulation spaces