Titlebook: Geometric Harmonic Analysis I; A Sharp Divergence T Dorina Mitrea,Irina Mitrea,Marius Mitrea Book 2022 The Editor(s) (if applicable) and Th

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Alfred Stucky Dipl.-Ing. Dr. techn. Dr. h.c.s required in this endeavor, there are certain off-diagonal Carleson measure estimates of reverse Hölder type, which we formulate and prove in Sect. .. In turn, these estimates use information on the nontangential maximal operator developed in Sects. .–. (as well as its version from Sect. .), and th

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978-3-031-05952-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Examples, Counterexamples, and Additional Perspectives,.). All details in the statements of our main results in Chap. . have their own significance, and the examples/counterexamples presented in Sects. .–. are designed to elucidate their specific nature. The picture that emerges is that our results are optimal from a multitude of (geometric and analytic

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Measure Theoretical and Topological Rudiments,sures, Borel regularity, inner and outer regularity, separable measures, the support of a measure, Radon measures, complex Borel measures, Lebesgue spaces (separability, density results), the topology on the space of measurable functions, and Riesz’s Representation Theorem.

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