Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups equipped with Haar measure
DOI10.1002/mana.201900181OpenAlexW3193506018MaRDI QIDQ6073351
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
Publication date: 17 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201900181
convolutionmodulus of continuityHaar measureYoung inequalitygrand Lebesgue spaceslocally compact topological groupsunimodular groupbeta-functionLebesgue-Riesz space
Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Measure algebras on groups, semigroups, etc. (43A10)
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Cites Work
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- Grand Lebesgue spaces with respect to measurable functions
- Boyd indices in generalized grand Lebesgue spaces and applications
- Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables
- A simple proof of the Banach contraction principle
- On the integrability of the Jacobian under minimal hypotheses
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Inequalities in Fourier analysis
- Computing integrals of discontinuous functions by the method of dependent tests
- Inverting the \(p\)-harmonic operator
- Duality and reflexivity in grand Lebesgue spaces
- Characterization of interpolation between grand, small or classical Lebesgue spaces
- Generalized convolution inequalities and application
- Pointwise estimates for \(G\Gamma\)-functions and applications.
- On small Lebesgue spaces
- Grand and small Lebesgue spaces and their analogs
- Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
- A note on the continuity of minors in grand Lebesgue spaces
- Some interpolation formulae for grand and small Lorentz spaces
- Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation
- New Young inequalities and applications
- On the algebras $L_p$ of locally compact groups
- On fractional convolutions and distributions
- Sharpness in Young’s inequality for convolution
- Inclusions and the approximate identities of the generalized grand Lebesguespaces
- Limit cases of reiteration theorems
- Sawyer's duality principle for grand Lebesgue spaces
- Relations between exponential tails, moments and moment generating functions for random variables and vectors
- Mappings of finite distortion: Monotonicity and continuity
- Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data
