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A non-doubling Trudinger inequality

100%

Gogatishvili A. , Koskela P.

Studia Mathematica

2005

tom 170

nr 2

113-119

We establish a Trudinger inequality for functions that satisfy a suitable Poincarè inequality in a Euclidean space equipped with a Borel measure that need not be doubling.

Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

80%

Gogatishvili A. , Aykol C. , Guliyev V.

Studia Mathematica

2015

tom 228

nr 3

223-233

We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.

Relations between some classes of functions of generalized bounded variation

80%

Gogatishvili A. , Goginava U. , Tephnadze G.

Banach Center Publications

2014

tom 102

nr 1

89-98

We prove inclusion relations between generalizing Waterman's and generalized Wiener's classes for functions of two variable.

Characterization of associate spaces of weighted Lorentz spaces with applications

80%

Gogatishvili A. , Pick L. , Soudský F.

Studia Mathematica

2014

tom 224

nr 1

1-23

We characterize associate spaces of weighted Lorentz spaces GΓ(p,m,w) and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into $L^{∞}$.