Holomorphic Q Classes

By Jie Xiao. 2001

270 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/8b092eb955940d8464c0c9793d6fa15a7f0a73dd

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In Algebra and Number Theory

In Applied Mathematics

Citations in the corpus

Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “The homogenous version of these spaces were introduced in [91, 92] in order to clarify the relation between Besov and Triebel-Lizorkin spaces and Q spaces (see [21, 16, 89, 90]).”
QK type spaces of analytic functions (2006, unknown): “In fact, by [5] there exist two functions f1 and f2 in B q+2 p such that |f ′ 1(z)|+ |f ′ 2(z)| ≈ (1− |z|2)− q+2 p .”
Weighted Bergman spaces induced by rapidly incresing weights (2012, background): “for some (equivalently for all) γ > 1, see [82].”
Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces (2011, background): “In recent years, there has been increasing interest in a new family of function spaces, called Qα spaces with α ∈ R; see, for example, [1, 2, 13, 14] and their references for a history of these spaces.”
Semigroups of composition operators and integral operators in spaces of analytic functions (2013, background): “See [24] and [26] for definitions and basic facts of the spaces and [20], [21] and [23] for composition semigroups on these spaces.”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, background): “It was shown in [57, 58, 43] that these spaces unify and generalize many classical function spaces including classical Besov and Triebel-Lizorkin spaces, Triebel-Lizorkin-Morrey spaces (see, for example, [51, 42, 41, 43]), Q spaces, and Hardy-Hausdorff spaces (see also [54, 55]).”