A note on boundedness of the Hardy-Littlewood maximal operator on Morrey spaces

In this paper we prove that the Hardy-Littlewood maximal operator is bounded on Morrey spaces \mathcal{M}_{1,\lambda}(\rn), 0 \le \la < n for radial, decreasing functions on \rnComment: 7 page

Sharp embeddings of Besov spaces involving only slowly varying smoothness

AS CRGRICES201/05/2033201/08/0383Grant Agency of the CzechInstitutional Research Plan no. AV0Z10190503 of theFCT05-1000008-815

New pre-dual space of Morrey space

In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We also show that our new pre-dual space of the Morrey space coincides with known pre-dual spaces

KEMAMPUAN KOMUNIKASI MATEMATIS DAN BERPIKIR KREATIF SISWA SMP PADA PENERAPAN MODEL STUDENT FACILITATOR AND EXPLAINING (SFAE) DAN PENILAIAN TEMAN SEBAYA DITINJAU DARI GAYA BELAJAR

Penelitian yang berjudul “Kemampuan Komunikasi Matematis dan Berpikir Kreatif Siswa SMP Pada Penerapan Model SFAE dan Penilaian Teman Sebaya Ditinjau Dari Gaya Belajar” ini bertujuan untuk mendeskripsikan penerapan pada model SFAE dan penilaian teman sebaya untuk mengetahui kemampuan komunikasi matematis dan berpikir kreatif siswa SMP yang ditinjau dari gaya belajar. Penelitian ini dilaksanakan di SMP Negeri 2 Plandaan tepatnya dikelas VIIIB selama 4 kali pertemuan. Jenis penelitian yang dilakukan adalah analisis kemampuan komunikasi matematis dan berpikir kreatif siswa SMP. Instrumen dalam penelitian ini adalah Rencana Pelaksanaan Pembelajaran (RPP), tes hasil belajar, observasi pembelajaran, dan wawancara. Hasil penelitian menunjukkan bahwa kemampuan komunikasi matematis siswa memperoleh kategori tinggi dan memperoleh rata-rata 87,8. Kemampuan berpikir kreatif siswa memperoleh kategori tinggi dan memperoleh rata-rata 75,21. Rata-rata dari skor penilaian teman sebaya untuk menilai sikap mendapat kategori baik

Reduction theorems for operators on the cones of monotone functions

For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in Lp - Lq setting for 0 < q < ∞, 1<= p < ∞. The case 0 < p < 1 is also studied for operators with additional properties. In particular, we obtain critera for three-weight inequalities for the Hardy-type operators with Oinarov' kernel on monotone functions in the case 0 < q < p <= 1

Integral operators on cones of monotone functions

[No abstract available

Integral operators on cones of monotone functions

[No abstract available

Operators on cones of monotone functions

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Embeddings between weighted local Morrey-type spaces

In this paper certain n-dimensional inequalities are shown to be equivalent to the inequalities in the one-dimensional setting. By this means, embeddings between weighted local Morrey-type spaces are characterized for some ranges of parameters. © CSP-Cambridge, UK.Shota Rustaveli National Science Foundation: FR17-589 Grantová Agentura ÄŒeské Republiky 67985840The research of the first author was partially supported by grant no. P201-18-00580S of the Grant Agency of the Czech Republic, by RVO: 67985840, and by Shota Rustaveli National Science Foundation (SRNSF), grant no: FR17-589