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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/277125
Description: Let (X, d, μ) be a metric measure space endowed with a metric d and a nonnegative Borel doubling measure μ. Let L be a non-negative self-adjoint operator of order m on X. Assume that L generates a hol ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/272191
Description: Let T be a multilinear operator which is bounded on certain products of unweighted Lebesgue spaces of Rn. We assume that the associated kernel of T satisfies some mild regularity condition which is we ... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/173508
Description: 54 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146211
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 non-negative self-adjoint operator on L²(X). Assume that the semigroup e-tL gener ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/134214
Description: Let L be a non-negative self-adjoint operator acting on L²(X) where X is a space of homogeneous type. Assume that L generates a holomorphic semigroup e-tL whose kernels pt(x,y) have Gaussian upper bou ... More
Reviewed: Reviewed
Date: 2010
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/88543
Description: We obtain endpoint estimates for multilinear singular integral operators whose kernels satisfy regularity conditions significantly weaker than those of the standard Calderón-Zygmund kernels. As a cons ... More
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Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/115309
Description: Let T be a bounded multilinear operator on some product of Lq(ℝn) spaces. Assume that T has a non-smooth associated kernel which satisfies certain weak regularity conditions but not regular enough to ... More
Reviewed: Reviewed
Date: 2009
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/322925
Description: In this article we prove Cotlar's inequality for the maximal singular integrals associated with operators whose kernels satisfy regularity conditions weaker than those of the standard m -linear Calder ... More
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1133528
Description: 16 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/82537
Description: 30 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/100214
Description: 22 page(s)
Reviewed: Reviewed
Date: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/20998
Description: Given p ∈ [1,∞) and λ ∈ (0, n), we study Morrey space Lp,λ(ℝn) of all locally integrable complex-valued functions f on ℝn such that for every open Euclidean ball B ⊂ ℝn with radius rB there are number ... More
Reviewed: Reviewed
Date: 2006
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/26373
Description: Let A=-(∇-ia⃗)²+V be a magnetic Schrödinger operator acting on L²(Rⁿ), n≥1, where a⃗=(a₁,...,an) ∈L²loc and 0≤V∈L¹loc. Following [1], we define, by means of the area integral function, a Hardy space H ... More
Reviewed: Reviewed
Date: 2005
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/80765
Description: 15 page(s)
Reviewed: Reviewed
Date: 2005
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/44437
Description: Let L be the infinitesimal generator of an analytic semigroup on L²(ℝⁿ) with suitable upper bounds on its heat kernels. Auscher, Duong, and McIntosh defined a Hardy space H¹L by means of an area integ ... More
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Reviewed: Reviewed