Characterizes weighted modulation spaces allowing pointwise convergence of heat and Hermite-heat semigroups to initial data as t approaches zero, plus boundedness of the Hardy-Littlewood maximal operator on certain modulation spaces.
Estimates on fractional power dissipative equations in function spaces.Nonlinear Anal., 75(5):2959–2974
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Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
Characterizes weighted modulation spaces allowing pointwise convergence of heat and Hermite-heat semigroups to initial data as t approaches zero, plus boundedness of the Hardy-Littlewood maximal operator on certain modulation spaces.