Titlebook: Geometric Aspects of Harmonic Analysis; Paolo Ciatti,Alessio Martini Conference proceedings 2021 The Editor(s) (if applicable) and The Aut

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https://doi.org/10.1007/978-94-009-4055-0n this article the estimates of the type ∥.∥. ≤ ..∥.∥., . ≥ 2, were considered for the dyadic square function operator ., and Davis found the sharp values of constants ... However, along with the sharp constants one can consider a more subtle characteristic of the above estimate. This quantity is ca

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Tabulable quadratic ratio tests, multiplication operators with singular integrals in general, and with the Beurling operator in particular. A conjecture of T. Iwaniec regarding the solvability for general datum . remains open, but recent partial results in this direction will be presented. These are based on a complete characteris

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https://doi.org/10.1007/978-3-030-32730-9tive results for ., and providing new counterexamples in other situations. The study is based on suitable estimates of the dyadic averaging operators .; in particular we find asymptotically optimal growth rates for the norms of these operators in global and local situations.

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,On the Restriction of Laplace–Beltrami Eigenfunctions and Cantor-Type Sets,Random Cantor sets have appeared in a variety of contexts before, specifically in fractal geometry, multiscale analysis, additive combinatorics and fractal percolation Kahane and Peyriere (Adv Math 22(2):131–145, 1976; Laba and Pramanik, Geom Funct Anal 19:429–456, 2009; Laba and Pramanik, Duke Math

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