Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko
نویسندگان
چکیده
This book explores properties of generalized Herz spaces and establishes a real-variable theory Hardy associated with spaces.
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
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15 صفحه اولBilinear Operators on Herz-type Hardy Spaces
The authors prove that bilinear operators given by finite sums of products of Calderón-Zygmund operators on Rn are bounded from HK̇11 q1 × HK̇ α2,p2 q2 into HK̇ q if and only if they have vanishing moments up to a certain order dictated by the target space. Here HK̇ q are homogeneous Herz-type Hardy spaces with 1/p = 1/p1 +1/p2, 0 < pi ≤ ∞, 1/q = 1/q1 +1/q2, 1 < q1, q2 < ∞, 1 ≤ q < ∞, α = α1 + α2 a...
متن کاملVector-valued Inequalities on Herz Spaces and Characterizations of Herz–sobolev Spaces with Variable Exponent
The origin of Herz spaces is the study of characterization of functions and multipliers on the classical Hardy spaces ([1, 8]). By virtue of many authors’ works Herz spaces have became one of the remarkable classes of function spaces in harmonic analysis now. One of the important problems on the spaces is boundedness of sublinear operators satisfying proper conditions. Hernández, Li, Lu and Yan...
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In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear operators, which extend some known results.
متن کاملThe Wavelet Characterization of Herz-type Hardy Spaces with Variable Exponent
In this paper, using the atomic theory of the Herz-type Hardy spaces with variable exponent, we give their wavelet characterization by means of some discrete tent spaces with variable exponent at the origin.
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ژورنال
عنوان ژورنال: Lecture Notes in Mathematics
سال: 2022
ISSN: ['1617-9692', '0075-8434']
DOI: https://doi.org/10.1007/978-981-19-6788-7