Grand Lebesgue spaces on quasi-metric measure spaces of infinite measure

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33)

Cites Work

Generalization of the notion of grand Lebesgue space
Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
Weighted Hardy spaces
On the integrability of the Jacobian under minimal hypotheses
Inverting the \(p\)-harmonic operator
Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces
Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Calderón-Zygmund singular operators in extrapolation spaces
Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications
Potentials with product kernels in grand Lebesgue spaces: one-weight criteria
On some weighted inequalities for fractional integrals on nonhomogeneous spaces
Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\)
Trace inequalities for fractional integrals in grand Lebesgue spaces
On grand Lebesgue spaces on sets of infinite measure
Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
Fractional integrals with measure in grand Lebesgue and Morrey spaces
Гранд-пространства типа Морри
The maximal theorem for weighted grand Lebesgue spaces
Inequalities for the maximal function relative to a metric
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Classical Fourier Analysis
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