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Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1191359
Description: Let (X,d,μ) be a metric measure space endowed with a distance d and a nonnegative Borel doubling measure μ. Let L be a second-order non-negative self-adjoint operator on L²(X). Assume that the semigro ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195343
Description: It was well known that geometric considerations enter in a decisive way in many questions of harmonic analysis. The main purpose of this paper is to provide the criterion of the boundedness for singul ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1251256
Description: The purpose of this paper is to introduce a class of general singular integral operators on spaces M̃ = M₁ × ··· × Mn. Each factor space Mᵢ₊ 1 ≤ i ≤ n, is a space of homogeneous type in the sense of C ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1234108
Description: A classical theorem of Jones and Journé on weak-star convergence in the Hardy space H¹ was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underly ... More
Reviewed: Reviewed
Date: 2016
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1191486
Description: The aim of this article is to develop the theory of product Hardy spaces associated with operators which possess the weak assumption of Davies–Gaffney heat kernel estimates, in the setting of spaces o ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1049981
Description: We prove that the multiparameter (product) space BMO of functions of bounded mean oscillation can be written as the intersection of finitely many dyadic product BMO spaces, with equivalent norms, gene ... More
Reviewed: Reviewed
Authors: Tan, ChaoQiang | Li, Ji
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/353252
Description: The purpose of this paper is to extend the Littlewood-Paley theory to a geometrically doubling metric space with a non-doubling measure satisfying a weak growth condition. Moreover, we prove that our ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310533
Description: 25 page(s)
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/336781
Description: 13 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310361
Description: Let (X, d, μ) be a metric measure space endowed with a distance d and a nonnegative Borel doubling measure μ. Let L be a second order self-adjoint positive operator on L²(X). Assume that the semigroup ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310347
Description: Using the random dyadic lattices developed by Hytönen and Kairema, we build up a bridge between BMO and dyadic BMO, and hence one between VMO and dyadic VMO, via expectations over dyadic lattices on s ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/310547
Description: 11 page(s)
Reviewed: Reviewed
Authors: Chitty, Naren | Li, Ji
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/231630
Description: 4 page(s)
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/272059
Description: Let X be a space of homogeneous type. Assume that an operator L has a bounded holomorphic functional calculus on L²(X) and the kernel of the heat semigroup {e-tL}t>0 satisfies the Davies-Gaffney estim ... More
Reviewed: Reviewed
Authors: Li, Ji | Ward, Lesley A
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/310354
Description: 16 page(s)
Reviewed: Reviewed