Approximation in weighted generalized grand Lebesgue spaces

DOI10.4064/cm6555-12-2015zbMath1339.41007OpenAlexW2591152454MaRDI QIDQ2787121

Ahmet Testici, Daniyal M. Israfilov

Publication date: 24 February 2016

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm6555-12-2015

zbMATH Keywords

modulus of smoothnessgrand Lebesgue spacesdirect theoreminverse theorem

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Related Items (5)

On approximation of functions by rational functions in weighted generalized grand Smirnov classes ⋮ Weighted variable exponent grand Lebesgue spaces and inequalities of approximation ⋮ Unnamed Item ⋮ Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent

Cites Work

• Grand Sobolev spaces and their applications in geometric function theory and PDEs
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Riesz transforms and elliptic PDEs with VMO coefficients
• On the integrability of the Jacobian under minimal hypotheses
• A remark on the equality \(\text{det} Df=\text{Det} Df\)
• Inverting the \(p\)-harmonic operator
• The distance to \(L^{\infty }\) in some function spaces and applications
• On extrapolation blowups in the \(l_{p}\) scale
• On the domain and range of the maximal operator
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