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On convergence of singular integrals in the generalized variation metric

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Publication:1819310
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zbMath0613.42014MaRDI QIDQ1819310

Jerzy Szelmeczka

Publication date: 1986

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)


zbMATH Keywords

weightabsolute continuitysingular convolution operators


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)


Related Items (5)

A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators ⋮ Modular estimates of integral operators with homogeneous kernels in Orlicz type classes ⋮ Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation







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