Listar por autor "De la Rosa, Elena"
Mostrando ítems 1-5 de 5
-
Bergman projection on Lebesgue space Induced by doubling weight
Peláez-Márquez, José Ángel
; De la Rosa, Elena; Rättyä, Jouni (Springer Nature, 2023-11-28)
Let ω and ν be radial weights on the unit disc of the complex plane, and denote σ = ωp′ ν− p′ p and ωx = ∫ 1 0 sxω(s) ds for all 1 ≤ x < ∞. Consider the one-weight inequality ‖Pω (f )‖Lp ν ≤ C‖f ‖Lp ν , 1 < p < ∞, ... -
Fractional derivative description of the bloch space
Moreno, Álvaro Miguel; Peláez-Márquez, José Ángel; De la Rosa, Elena (Springer Nature, 2024-01-09)
We establish new characterizations of the Bloch space B which include descriptions in terms of classical fractional derivatives. Being precise, for an analytic function f (z) = E∞n=0 ^f(n)zn in the unit disc D, we define ... -
Generalized Cesàro operator acting on Hilbert spaces of analytic functions
Mas, Alejandro; Merchán-Álvarez, Noel; De la Rosa, Elena (Springer, 2024-05-14)
Let D denote the unit disc in C. We define the generalized Cesàro operator as follows: Cω( f )(z) = 1 0 f (t z) 1 z z 0 Bω t (u) du ω(t)dt, where {Bω ζ }ζ∈D are the reproducing kernels of the Bergman space ... -
Hilbert-type operator induced by radial weight on Hardyspaces
Merchán-Álvarez, Noel; Peláez-Márquez, José Ángel; De la Rosa, Elena (Springer Nature, 2023-09-19)
We consider the Hilbert-type operator defined by Hω(f)(z)=∫10f(t)(1z∫z0Bωt(u)du)ω(t)dt, where {Bωζ}ζ∈D are the reproducing kernels of the Bergman space A2ω induced by a radial weight ω in the unit disc D. We prove ...