Wyniki wyszukiwania

1

Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces

100%

Matsuoka K.

Banach Center Publications

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2014

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tom 102

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nr 1

181-188

EN

We introduce the generalized fractional integrals $Ĩ_{α,d}$ and prove the strong and weak boundedness of $Ĩ_{α,d}$ on the central Morrey spaces $B^{p,λ}(ℝⁿ)$. In order to show the boundedness, the generalized λ-central mean oscillation spaces $Λ^{(d)}_{p,λ}(ℝⁿ)$ and the generalized weak λ-central mean oscillation spaces $WΛ^{(d)}_{p,λ}(ℝⁿ)$ play an important role.

2

Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms

63%

Matsuoka K., Nakai E.

Banach Center Publications

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2011

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tom 92

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nr 1

249-264

EN

We introduce function spaces $B^{p,λ}$ with Morrey-Campanato norms, which unify $B^{p,λ}$, $CMO^{p,λ}$ and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator $I_{α}$ on these spaces.

3

Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces

63%

Maligranda L., Matsuoka K.

Colloquium Mathematicum

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2015

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tom 138

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nr 2

165-181

EN

We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.

Ograniczanie wyników

2 Banach Center Publications

1 Colloquium Mathematicum

3 Matsuoka K.

1 Maligranda L.

1 Nakai E.

1 2015

1 2014

1 2011

Generalized fractional integrals on central Morrey spaces and generalized λ-CMO spaces

Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms

Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces