Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-1040-5
Abstract: Let $$C_{\varphi }$$Cφ be the composition operator with monomial symbol $$\varphi (z)=z^m$$φ(z)=zm, $$z\in \mathbb {D}$$z∈D, for some positive integer m. In this article, we investigate the point spectrum, spectrum, and essential spectrum of the operators… read more here.
Keywords: monomial symbol; weighted hardy; hardy spaces; varphi ... See more keywords
Rational Approximation in a Class of Weighted Hardy Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-018-0862-x
Abstract: This study aims at rational approximation of a class of weighted Hardy spaces, including the classical Bergman space, the weighted Bergman spaces, the Hardy space, the Dirichlet space and the Hardy–Sobolev spaces. We will mainly… read more here.
Keywords: rational approximation; approximation; weighted hardy; class weighted ... See more keywords
Rhaly Operators on Small Weighted Hardy Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-018-0277-9
Abstract: We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D$\mathbb {D}$. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership… read more here.
Keywords: small weighted; weighted hardy; operators small; rhaly operators ... See more keywords
Estimate for the Entropy Numbers of the Weighted Hardy Operators that Act from Banach Space to q-Banach Space
Sign Up to like & getrecommendations! Published in 2019 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446619040086
Abstract: We study weighted Hardy operators from the Banach space Lp to the q-Banach space Lq and obtain estimates for the entropy numbers of one- and two-weighted Hardy operators with nonnegative measurable weight functions. read more here.
Keywords: weighted hardy; space banach; hardy operators; banach space ... See more keywords
Sublinear operators on weighted Hardy spaces with variable exponents
Sign Up to like & getrecommendations! Published in 2019 at "Forum Mathematicum"
DOI: 10.1515/forum-2018-0142
Abstract: We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square functions and… read more here.
Keywords: weighted hardy; variable exponents; spaces variable; hardy spaces ... See more keywords
Uncertainty inequality on weighted Hardy spaces
Sign Up to like & getrecommendations! Published in 2023 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2023-2026
Abstract: Abstract In this paper we introduce a weighted Hardy space ℋ β {\mathscr{H}_{\beta}} . This space generalizes some complex Hilbert spaces like the Dirichlet space 𝒟 {\mathscr{D}} , the Bergman space 𝒜 {\mathscr{A}} and the… read more here.
Keywords: weighted hardy; mathscr; space mathscr; beta ... See more keywords