A note on multiplication and composition operators in Orlicz spaces

Riesz decomposition theorem says that superharmonic functions on the punctured unit ball are represented as the sum of generalized (Newtonian) potentials and harmonic functions. In this paper we study growth properties near the origin of spherical means for generalized Riesz potentials of functions satisfying Orlicz conditions in the punctured unit ball. K E Y W O R D Sgeneralized Riesz potentials, Orlicz conditions, spherical limits M S C ( 2 0 1 0 ) 31B15, 46E35( −1 = the surface measure of (0, 1) ) (see [11]). If ∈ 1 ( ⧵ {0}) is a function such that = 0 outside and

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Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions

Mizuta¹,

Ohno

Shimomura

et al. 2020

Mathematische Nachrichten

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Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces

Datt,

Bajaj,

Fiorenza

2024

Rend. Circ. Mat. Palermo, II. Ser

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Essential ascent and descent of weighted composition operators on Lorentz sequence spaces

Datt

Bajaj

2022

Journal of Mathematical Analysis and Applications

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A note on multiplication and composition operators in Orlicz spaces

Abstract: In this note, we give some results on the ascent and descent of multiplication and composition operators on Orlicz spaces.

Cited by 3 publications

References 7 publications

Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions

Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions

Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces

Essential ascent and descent of weighted composition operators on Lorentz sequence spaces

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