Net spaces and boundedness of integral operators
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Publication:645290
DOI10.1007/s12220-010-9175-7zbMath1248.46025OpenAlexW2169691558MaRDI QIDQ645290
E. D. Nursultanov, Sergey Yu. Tikhonov
Publication date: 14 November 2011
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/44108
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (45P05) Integral operators (47G10) Interpolation between normed linear spaces (46B70)
Related Items (25)
Hardy-Littlewood-Stein inequalities for double trigonometric series ⋮ Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications ⋮ On the Marcinkiewicz-Calderón interpolation theorem for integral operators ⋮ On the convolution operator in Morrey spaces ⋮ Functions with general monotone Fourier coefficients ⋮ Hardy-type theorems on Fourier transforms revised ⋮ A sharp Remez inequality for trigonometric polynomials ⋮ Hardy-Littlewood and Pitt's inequalities for Hausdorff operators ⋮ Interpolation properties of certain classes of net spaces ⋮ Cesàro-type operators on Hardy spaces ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and L-L Fourier multipliers on compact homogeneous manifolds ⋮ On inequalities for the Fourier transform of functions from Lorentz spaces ⋮ Global and local smoothness of the Hilbert transforms ⋮ Interpolation theorem for anisotropic net spaces ⋮ On summability of Fourier coefficients of functions from Lebesgue space ⋮ Weighted norm inequalities for convolution and Riesz potential ⋮ Interpolation methods for stochastic processes spaces ⋮ Multipliers of double Fourier-Haar series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Norm inequalities for convolution operators ⋮ Weighted Fourier inequalities in Lebesgue and Lorentz spaces ⋮ The Boas problem on Hankel transforms ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\) ⋮ The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1^2\) and net \(N_{\bar p,\bar q}(M)\) spaces]
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