Weighted Composition Operators between Bloch-Type Spaces

By Shuichi Ohno, Karel M. Stroethoff, R. Zhao. 2003

239 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/aa23f0c737807c82bd899b4eb7c054237f5ac5f2

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In Algebra and Number Theory

In Applied Mathematics

Citations in the corpus

Products of composition and integral type operators from H ∞ to the Bloch space (2008, background): “The first one can be found in [3] or [9].”
Essential Norms of Weighted Composition Operators between Bloch-Type Spaces (2003, background): “Boundedness and compactness of weighted composition operators between Bloch-type spaces are characterized in [5].”
ON AN INTEGRAL OPERATOR FROM THE ZYGMUND SPACE TO THE BLOCH-TYPE SPACE ON THE UNIT BALL (2009, unknown): “The proof of the next lemma is similar to the proof of Lemma 1 in [25], which concerns the case of μ(z) = (1 − |z|2) on the unit disk, hence it is also omitted (for the case of μ(z) = (1 − |z|2)α, z ∈ , α ∈ (0,∞) see [27]).”
New estimates of Essential norms of weighted composition operators between Bloch type spaces (2012, background): “The following theorem has been proved in [12].”
Integral type operators from mixed-norm spaces to α-Bloch spaces (2007, background): “For this purpose, we need the following lemma, which can be proved in a standard way [13].”
Products of integral-type operators and composition operators between Bloch-type spaces (2009, background): “The following lemma can be found in [23], when β = 1, see [22].”
Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms (2013, background): “6 in [7], (fn) has a subsequence (fnk) which converges uniformly on D to a function, which we can assume to be identically zero.”
Weighted Composition Operators on the Bergman Space (2004, background): “In [19, 20], the boundedness and compactness of these operators on the Bloch spaces and α-Bloch spaces were characterized.”
Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces (2009, background): “The proof of the following lemma in the case w(z) = (1− |z|2)α can be found in [28] (the case α = 1 appears in [29]).”
Carleson Measures, Riemann–Stieltjes and Multiplication Operators on a General Family of Function Spaces (2013, background): “It is clear from the proof given in [15] that the above lemma also holds for Y = T∞ p,s(μ) in the case 0 < p < 1.”