Description of the space of Riesz potentials of functions in a grand Lebesgue space on \(\mathbb{R}^n\)
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Publication:1731483
DOI10.1134/S0001434618090134MaRDI QIDQ1731483
Publication date: 13 March 2019
Published in: Mathematical Notes (Search for Journal in Brave)
hypersingular integralRiesz potentialgrand Lebesgue spaceidentity approximationgrandizerLizorkin space of test functionsspace of Riesz potentials
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potential operators (47G40)
Related Items (2)
On elliptic homogeneous differential operators in grand spaces ⋮ On a characterisation of the space of Riesz potential of functions in Banach spaces with some a priori properties
Cites Work
- Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory
- Weighted Hardy operators in the local generalized vanishing Morrey spaces
- Generalization of the notion of grand Lebesgue space
- Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
- On the integrability of the Jacobian under minimal hypotheses
- Inverting the \(p\)-harmonic operator
- On local summability of Riesz potentials in the case Re \(\alpha >0\)
- Integral operators with homogeneous kernels in grand Lebesgue spaces
- Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications
- Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\)
- On grand Lebesgue spaces on sets of infinite measure
- The maximal theorem for weighted grand Lebesgue spaces
- The Boundedness of the Riesz Potential Operator from Generalized Grand Lebesgue Spaces to Generalized Grand Morrey Spaces
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