Results 181 to 190 of about 595,216 (216)
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On the binary analogs of the hardy and hardy-littlewood operators
Siberian Mathematical Journal, 1999Given \(x\in\mathbb R^+\) and an integer \(n\) such that \(2^n\leq x
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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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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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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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Hardy–Orlicz Spaces and Their Multiplication Operators
Acta Mathematica Sinica, English Series, 2005The author investigates the relation between Hardy and Hardy--Orlicz spaces. Also, multiplication operators on Hardy--Orlicz spaces are discussed and the commutant of the multiplication operators \(M_z\) and the spectrum and essential spectrum of a multiplication operator on Hardy--Orlicz spaces are characterized.
Lu, Qun, Cao, Guangfu, Liu, Lifang
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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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Boundedness of Convolution Operators on Hardy Spaces
Computational Methods and Function Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belinsky E., Liflyand E.
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On a Hardy operator inequality
Positivity, 2017zbMATH 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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