Abstract
As we have seen (and much more evidence to this will be given in Part 2 of this book), Calderón–Zygmund-type decompositions are a universal tool for constructing near-minimizers and proving their stability. However, there is a price to be paid for generality: some natural questions remain beyond the capacity of this method. We have already encountered a question of this sort, namely, the case of an infinite exponent in the scale of Lebesgue spaces, see §3 in Chapter 3.
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Kislyakov, S., Kruglyak, N. (2013). Stability for analytic Hardy spaces. In: Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals. Monografie Matematyczne, vol 74. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0469-1_7
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DOI: https://doi.org/10.1007/978-3-0348-0469-1_7
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