In this note, we study the boundedness of integral operators $I_{g}$ and $T_{g}$ on analytic Morrey spaces. Furthermore, the norm and essential norm of those operators are given

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In this paper, we discuss the H 1 L -boundedness of commutators of Riesz transforms associated with the Schrödinger operator L = − + V , where H 1 L (R n ) is the Hardy space associated with L. We assume that V (x) is a nonzero, nonnegative potential which belongs to B q for some q > n/2. Let2000 Mathematics subject classification: primary 47B32, 47A75; secondary 42C40, 94A40.

Q β,−1 α,loc (R 3 ) Lorentz spaces In this paper, we establish a link between Leray mollified solutions of the threedimensional generalized Navier-Stokes equations and mild solutions for initial data in the adherence of the test functions for the norm of Q β,−1 α,loc (R 3 ). This result applies to the usual incompressible Navier-Stokes equations.

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