Trudinger's inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces

DOI10.1215/21562261-3759522zbMath1372.46026OpenAlexW2594169247MaRDI QIDQ522109

Tetsu Shimomura, Takao Ohno, Sachihiro Kanemori

Publication date: 13 April 2017

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1489201231

zbMATH Keywords

continuity metric measure space variable exponent nondoubling measure Trudinger's inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Trudinger's inequality on Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces ⋮ Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces ⋮ Gagliardo--Nirenberg inequality for generalized Riesz potentials of functions in Musielak--Orlicz spaces over quasi-metric measure spaces ⋮ Maximal operator on Orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces ⋮ Fractional maximal operator on Musielak-Orlicz spaces over unbounded quasi-metric measure spaces ⋮ Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces

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