Herz spaces and summability of Fourier transforms

DOI10.1002/mana.200510604zbMath1189.42001OpenAlexW2048483586MaRDI QIDQ5449651

Ferenc Weisz, Hans G. Feichtinger

Publication date: 12 March 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510604

zbMATH Keywords

Herz spacesweighted Wiener amalgam spacesLebesgue pointsweighted \(L_p\) spacesHardy-Littlewood maximal functions\(\theta\)-summability of Fourier series

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability in several variables (42B08)

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Weighted variable Morrey-Herz estimates for fractional Hardy operators ⋮ Young's inequalities and Hausdorff-Young inequalities on Herz spaces ⋮ Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces ⋮ Average Operators on Rectangular Herz Spaces ⋮ Variable exponent Herz spaces ⋮ Variable exponent Herz type Besov and Triebel-Lizorkin spaces ⋮ On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces ⋮ Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Semilinear parabolic equations in Herz spaces ⋮ The Musielak-Orlicz Herz spaces ⋮ Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces ⋮ Unnamed Item ⋮ Hardy and Sobolev inequalities in the half space ⋮ Maximal, potential and singular type operators on Herz spaces with variable exponents ⋮ Unnamed Item ⋮ Extrapolation to Herz spaces with variable exponents and applications ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ On the continuity of pseudo-differential operators on multiplier spaces associated to Herz-type Triebel-Lizorkin spaces ⋮ Hardy spaces associated to critical Herz spaces with variable exponent ⋮ Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Riesz potential operator in continual variable exponents Herz spaces ⋮ A note on the boundedness of sublinear operators on grand variable Herz spaces ⋮ Approximate identities on some homogeneous Banach spaces ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents ⋮ Boundedness of some bilinear operators on variable Herz-type Hardy spaces ⋮ Boundedness of the Marcinkiewicz integral on grand variable Herz spaces ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces

Cites Work

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