Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

A characterization of the inclusions between mixed norm spaces

“…Since then, these spaces have been studied by many authors (see [1], [6], [7], [12], [17]). Recently, the mixed norm spaces are mentioned in the works [3], [4], which are closely related to the main topic in this paper, see also the forthcoming monograph [14].…”

Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights

“…Not much seems to be known about multipliers and solid hulls of weighted spaces of analytic functions on the unit disc in the case of exponential weights. Hadamard multipliers of certain weighted space H 1 a (α), α > 0, were completely described by Dostanić in [9] (see also Chapter 13 in [12]). Other aspects of weighted spaces of analytic functions on the unit disc with exponential weights, like integration operators or Bergman projections, have been investigated recently by Constantin, Dostanić, Pau, Pavlović, Peláez and Rättyä, among others; see [8], [10], [14], [15] and [17].…”

“…The solid hull and multipliers on spaces of analytic functions on the disc has been investigated by many authors. In addition to [2], we mention for example [1], [11], the books [12] and [16] and the many references therein.…”

Semigroups of composition operators and integral operators on mixed norm spaces

“…Since then, these spaces have been studied by many authors (see [1], [7], [10], [16], [20], [27]). For instance, they appear naturally in the study of coefficient multipliers on Hardy and weighted spaces, and the generalized Hilbert operator on weighted Bergman spaces (see [19], [21], [11], [17] and [22]). Recently, results on pointwise growth and a characterization of the inclusions between these spaces were given in [4].…”

“…In particular, one can identify the weighted Bergman space A p α , 0 < p < ∞, −1 < α < ∞, of analytic functions on the unit disk such that with the limit case H(p, ∞, 0). The mixed norm spaces are also related to other spaces of analytic functions, such as Besov and Lipschitz spaces, via fractional derivatives (see [19,Chapter 7]).…”