Hardy spaces associated with non-negative self-adjoint operators
نویسندگان
چکیده
منابع مشابه
Hardy Spaces Associated with Non-negative Self-adjoint Operators
Maximal and atomic Hardy spaces Hp and H A, 0 < p ≤ 1, are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. It is shown that Hp = H A with equivalent norms.
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Maximal and atomic Hardy spaces Hp and H A, 0 < p ≤ 1, are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. It is shown that Hp = H A with equivalent norms.
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A small perturbation method is developed and deployed to the construction of frames with compactly supported elements of small shrinking supports for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure space in presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. This allows, in particular, to dev...
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Let A be a non-negative self-adjoint operator in a Hilbert space H and A0 be some densely defined closed restriction of A0, A0 ⊆ A 6= A0. It is of interest to know whether A is the unique non-negative self-adjoint extensions of A0 in H. We give a natural criterion that this is the case and if it fails, we describe all non-negative extensions of A0. The obtained results are applied to investigat...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2017
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm8646-12-2016