Function Spaces and Inequalities [electronic resource] : New Delhi, India, December 2015 / edited by Pankaj Jain, Hans-Jürgen Schmeisser.

Fernando Cobos and Luz M. Fernández-Cabrera, The fundamental function of certain interpolation spaces generated by N-tuples of rearrangement-invariant spaces -- Douadi Drihem, Sobolev embeddings for Herz-type Triebel-Lizorkin spaces -- M. L. Goldman, Order sharp estimates for monotone operators on Orlicz--Lorentz classes -- D. I. Hakim and Yosihiro Sawano, Complex interpolation of Morrey spaces -- Dorothee D. Haroske and Hans-Juergen Schmeisser, Gagliardo-Nirenberg inequalities for spaces with dominating  mixed derivatives -- Pankaj Jain, Monika Singh and Arun Pal Singh, Recent trends in the theory of grand Lebesgue spaces. Agnieszka Kalamajska and Iwona Skrzypczak, On certain new method to construct weighted Hardy-type inequalities and its application to the sharp Hardy-Poincare' inequalities -- Henning Kempka, Intrinsic characterization and the extension operator in variable exponent function spaces on special Lipschitz domains -- V. Kokilashvili and A. Meskhi, The boundedness of sublinear operators in weighted  Morrey spaces defined on spaces of homogeneous type -- Romesh Kumar, A.K. Sharma, S. Dubey and S. Wazir, Essentially algebraic composition operators on Lorentz sequence spaces with a weight -- Santosh Kumari, Higher dimensional Hardy-type inequalities -- Jan Lang, Osvaldo Mendez and Behzad Rouhani, Recent advances on generalized trigonometric systems in higher dimensions -- Eiichi Nakai, Pointwise multipliers on Musielak-Orlicz-Morrey spaces -- Hans Triebel, The Fatou property of function spaces, heat kernels, admissible norms and mapping properties -- Dachun Yang and Wen Yuan, A survey on some variable function spaces.

This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.