Titlebook: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure; Pascal Auscher,Moritz Egert Book 2023 The Editor(s) (i

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0743-1643 stimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the 978-3-031-29975-9978-3-031-29973-5Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Operator-Adapted Spaces, follow Amenta and Auscher (Elliptic Boundary Value Problems with Fractional Regularity Data. American Mathematical Society, Providence, 2018, Sec.3), where the authors develop an abstract framework of two-parameter operator families that provides a unified approach to sectorial and bisectorial oper

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Conservation Properties,ve the . .(.).?=?. whenever . is a constant. In absence of integral kernels, the action of such operators on constants is explained via off-diagonal estimates. We discuss several conservation properties, in particular for resolvents and Poisson semigroups.