122,099 research outputs found

    Weighted Calderón-Hardy spaces

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    summary:We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy spaces. The main tools to achieve our result are an atomic decomposition of weighted Hardy spaces furnished by the author, fundamental solutions of iterated Laplacian and pointwise inequalities for certain maximal functions

    Três contos de Thomas Hardy: tradução comentada de cadeias de significantes, hipotipose e dialeto

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    Tese (doutorado) - Universidade Federal de Santa Catarina, Centro de Comunicação e Expressão. Programa de Pós-Graduação em Estudos da TraduçãoEsta tese se insere na área de tradução comentada de textos literários e se baseia na minha tradução para o português dos contos "The withered arm", "Barbara of the House of Grebe" e "An imaginative woman", do escritor inglês Thomas Hardy (1840-1928), tendo como intuito propor uma discussão a respeito de algumas questões de tradução de prosa, a saber, a cadeia de significantes, hipotipose e dialeto. A tradução é precedida por um estudo prévio sobre o autor e sobre os aspectos mais importantes de sua obra e por uma apreciação da ficção de Hardy traduzida no Brasil. Em seguida, apresento os contos traduzidos e os respectivos comentários da traduçãoThe area of research of this thesis is literary translation with commentary and it is based on my own translation into Portuguese of the short stories #The withered arm#, #Bárbara of the House of Grebe#, and #An imaginative woman# by Thomas Hardy (1840-1928). In the commentaries, I draw attention to some matters in prose translation, such as underlying networks of signification, hypotyposis, and dialect. My translation is preceded by a study on the writer and on the most important aspects of his work, and by an analysis of Hardy#s fictional work translated into Brazilian Portuguese. Finally, I present the translation of the short stories and the commentaries on the translatio

    Modular inequalities for the Hardy averaging operator

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    summary:If PP is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form \int u \phi(Pf) \leq C\int v \phi(f) are established for a general class of functions ϕ\phi. Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given

    Isomorphisms and several characterizations of Musielak-Orlicz-Hardy spaces associated with some Schrödinger operators

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    summary:Let L:=Δ+VL:=-\Delta +V be a Schrödinger operator on Rn\mathbb {R}^n with n3n\ge 3 and V0V\ge 0 satisfying Δ1VL(Rn)\Delta ^{-1} V\in L^\infty (\mathbb {R}^n). Assume that φ ⁣:Rn×[0,)[0,)\varphi \colon \mathbb {R}^n\times [0,\infty )\to [0,\infty ) is a function such that φ(x,)\varphi (x,\cdot ) is an Orlicz function, φ(,t)A(Rn)\varphi (\cdot ,t)\in {\mathbb A}_{\infty }(\mathbb {R}^n) (the class of uniformly Muckenhoupt weights). Let ww be an LL-harmonic function on Rn\mathbb {R}^n with 0<C1wC20<C_1\le w\le C_2, where C1C_1 and C2C_2 are positive constants. In this article, the author proves that the mapping Hφ,L(Rn)fwfHφ(Rn)H_{\varphi ,L}(\mathbb {R}^n)\ni f\mapsto wf\in H_\varphi (\mathbb {R}^n) is an isomorphism from the Musielak-Orlicz-Hardy space associated with LL, Hφ,L(Rn)H_{\varphi ,L}(\mathbb {R}^n), to the Musielak-Orlicz-Hardy space Hφ(Rn)H_{\varphi }(\mathbb {R}^n) under some assumptions on φ\varphi . As applications, the author further obtains the atomic and molecular characterizations of the space Hφ,L(Rn)H_{\varphi ,L}(\mathbb {R}^n) associated with ww, and proves that the operator (Δ)1/2L1/2(-\Delta )^{-1/2}L^{1/2} is an isomorphism of the spaces Hφ,L(Rn)H_{\varphi ,L}(\mathbb {R}^n) and Hφ(Rn)H_{\varphi }(\mathbb {R}^n). All these results are new even when φ(x,t):=tp\varphi (x,t):=t^p, for all xRnx\in \mathbb {R}^n and t[0,)t\in [0,\infty ), with p(n/(n+μ0),1)p\in ({n}/{(n+\mu _0)},1) and some μ0(0,1]\mu _0\in (0,1]
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