On weak invertibility in analytic Herz type spaces of several variables

We extend some known results on weak invertibility in Bergman type spaces to Herz type spaces in the unit ball and polydisk. For our proofs in more general than Bergman type spaces Herz type spaces we modify approaches that were used earlier in the study of various weakly invertible elements in Bergman type spaces in the polydisk and in the unit ball. In onedimensional case the problem of weak invertibility was considered by many authors.