Factorization of Tent Spaces and Hankel Operators

By W. Cohn, Igor Verbitsky. 2000

78 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/57a26d17f95e6fe929e2289a8139979fb8fa16e1

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In Applied Mathematics

1. J. A. Pel'aez
2. S. Hofmann
3. Jouni Rattya
4. Svitlana Mayboroda
5. P. Auscher
6. A. Mcintosh
7. Jordi Pau
8. Kian Sierra

In Numerical Analysis

1. J. A. Pel'aez
2. S. Hofmann
3. Jouni Rattya
4. A. Mcintosh
5. Svitlana Mayboroda

Citations in the corpus

• Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010, methodology): “Later on the complex interpolation of te nt spaces was proved for 0 < p, q < ∞ ands= 0 in [15], [20] (see also [ 2], [3], [16]).”
• Pointwise products of some Banach function spaces and factorization (2012, background): “led factorizations of concrete spaces as, for example, lp and Cesa`ro sequence spaces or Lp and Cesa`ro function spaces (cf. [Be96], [AM09], [Sc10]), factorization of tent spaces or other spaces (cf. [CV00], [CRW76], [Ho77]). 3. The product spaces and multipliers Let us collect properties connecting”
• Small weighted Bergman spaces (2015, methodology): “[17] W. S. Cohn and I. E. Verbitsky, Factorization of tent spaces and Hankel operators, J. Funct.”
• Volterra type integration operators from Bergman spaces to Hardy spaces (2019, result): “A similar result for tent spaces of functions over the upper half-space was proven in [10] by Cohn and Verbitsky.”
• Embedding Bergman spaces into tent spaces (2015, background): “Introduction and main results The theory of tent spaces introduced by Coifman, Meyer and Stein [4], and further studied by Cohn and Verbitsky [3] among others, shows the importance of maximal and square area functions and other objects from harmonic analysis [6] in the study of Hardy spaces in the u”
• The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients (2013, unknown): “3 4 t 2L fε Lp kN∗(Pt∂tv)kLp′ . The latter estimate follows from the duality of tent spaces Tp 2 and T p′ 2 and the fact that T∞ 2 · T p′ ∞ → T p′ 2 (see [CMS] for the case p′ &gt;2 and [HMM] or [CV], p. 313 for all 0 &lt;p′ &lt;∞). 24 STEVE HOFMANN, CARLOS KENIG, SVITLANA MAYBORODA, AND JILL PIPH”