Results 11 to 20 of about 1,789,847 (137)
On Closed Subspaces of Grand Lebesgue Spaces [PDF]
We prove a generalized version of a theorem of Grothendieck over finite measure space. We prove a closed subspace of grand Lebesgue space that consist of functions of must be finite dimensional. By using embeddings of Banach spaces and we work inside space . Then we take advantage of many useful properties of Hilbert space.
Kaya, Yasin, Yasin KAYA
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Sawyer Duality Principle in Grand Lebesgue Spaces
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Jain P. +3 more
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The forgotten parameter in grand Lebesgue spaces
Let ...
Capone C., Fiorenza A.
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Grand and Small Lebesgue Spaces and Their Analogs
We give the following, equivalent, explicit expressions for the norms of the small and grand Lebesgue spaces, which depend only on the non-decreasing rearrangement (we assume here that the underlying measure space has measure 1): \begin{align*} \|f\|_{L^{(p}} &\approx \int_0^1 (1-\ln t)^{
FIORENZA, ALBERTO, G. E. KARADZHOV
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Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces
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Bandaliyev R.A., Volosivets S.S.
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Best trigonometric approximation and modulus of smoothness of functions in weighted grand Lebesgue spaces [PDF]
In this work, first of all, Lpw),Ө (T) weighted grand Lebesgue spaces and Muckenhoupt weights is defined. The information about properties of these spaces is given. Let Tn be the trigonometric polynomial of best approximation.
Sadulla Z. Jafarov
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Riesz Fractional Integrals in Grand Lebesgue Spaces on ℝn
We introduce conditions on the construction of grand Lebesgue spaces on R-n which imply the validity of the Sobolev theorem for the Riesz fractional integrals I-alpha and the boundedness of the maximal operator, in such spaces. We also give an inversion of the operator I-alpha by means of hypersingular integrals, within the frameworks of the introduced
Samko, Stefan, Umarkhadzhiev, Salaudin
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Bochner–Riesz operators in grand lebesgue spaces [PDF]
AbstractWe provide the conditions for the boundedness of the Bochner–Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant appearing in the Lebesgue–Riesz norm estimation of the Bochner–Riesz operator and we investigate the convergence of the Bochner–Riesz approximation in Lebesgue–Riesz
Formica, Maria Rosaria +2 more
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On grand Lebesgue spaces on sets of infinite measure
We consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so-called. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces.
Stefan Samko, Salaudin Umarkhadzhiev
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Local grand variable exponent Lebesgue spaces
We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
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