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Estimates for the Norm of the Hardy Operator in Operator Ideals
Siberian Mathematical JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. N. Lomakina, M. G. Nasyrova
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Hankel and Toeplitz operators in hardy spaces
Journal of Soviet Mathematics, 1987Some spaces of analytic functions are introduced and some theorems concerning the theory of Toeplitz and Hankel operators on these spaces are investigated. The main result is theorem 4, where the symbols of Toeplitz and Hankel operators from \(H^ p\) to \(H^ q ...
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2002
In [118] Hardy proved the following celebrated inequality: let 1 < p < ∞ and set F(x) = ∫ o x f (t)dt, where f is a non-negative measurable function on (0, ∞). Then, if e < 1/p′ = 1–1/p, $$ \int_0^\infty {{F^p}} (x){x^{p(\varepsilon - 1)}}dx \leqslant C\int_0^\infty {{f^p}} (x){x^{\varepsilon p}}dx $$ (2.1.1) for some constant C > 0 ...
David E. Edmunds +2 more
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In [118] Hardy proved the following celebrated inequality: let 1 < p < ∞ and set F(x) = ∫ o x f (t)dt, where f is a non-negative measurable function on (0, ∞). Then, if e < 1/p′ = 1–1/p, $$ \int_0^\infty {{F^p}} (x){x^{p(\varepsilon - 1)}}dx \leqslant C\int_0^\infty {{f^p}} (x){x^{\varepsilon p}}dx $$ (2.1.1) for some constant C > 0 ...
David E. Edmunds +2 more
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On a Hardy operator inequality
Positivity, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local Hardy–Littlewood maximal operator
Mathematische Annalen, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Chin-Cheng, Stempak, Krzysztof
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COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES
Acta Mathematica Scientia, 2005Let \(H^\phi\) be the Hardy--Orlicz space generated by \(\phi\) and consider the composition operator \(C_\psi\) induced by an analytic self-map \(\psi\) on the unit disk \(\mathbb{D}\) of the complex plane. Then it is well-known that there exists an \(F\)-norm \(\|.\|_\phi\) on \(H^\phi\) such that \((H^\phi,\|.\|_\phi)\) is a complete Fréchet space ...
Liu, Lifang +2 more
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Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields
Periodica Mathematica HungaricazbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Hardy–Steklov and geometric Steklov operators
Mathematische Nachrichten, 2007AbstractA new (non‐Muckenhoupt type) weight characterization for the boundedness of the general Hardy–Steklov operator is obtained in the case 1 < p ≤ q < ∞. The estimates obtained for the norm of the Hardy–Steklov operator allow the limiting procedure and as a result the boundedness of the corresponding geometric Steklov operator is investigated.
Burenkov, V., Jain, P., Tararykova, T.
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Two Weight Mixed Ф-Inequalities for the Hardy Operator and the Hardy-Littlewood Maximal Operator
Journal of the London Mathematical Society, 1992See the preview in Zbl 0723.42006.
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Hardy-Steklov integral operators. I
2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prokhorov, D. V. +2 more
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