Results 11 to 20 of about 303 (54)
Some notes on the inclusion between Morrey spaces
Journal of Mathematical Inequalities, 2022 In this paper, we show that the Morrey spaces M p q1(R n) cannot be contained in the weak Morrey spaces wM p q2 (R n) for q1 = q2 . We also show that the vanishing Morrey spaces V M p q(R n) are not empty and properly contained in the Morrey spaces M p q
Philotheus E. A. Tuerah, N. K. Tumalun
semanticscholar +1 more source
Convexity and boundedness relaxation for fixed point theorems in modular spaces
, 2021 Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, S. Shabanian
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Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces
Operators and Matrices, 2021 In this paper, we establish some necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on weighted central Morrey and Herz type spaces.
D. Duong, N. T. Hong
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Mathematical Inequalities & Applications, 2020 We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local
T. Yee, K. Cheung, K. Ho, Chun Kit Suen
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Sobolev's theorem for double phase functionals
, 2020 Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 < p q < ∞ , τ > 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−
Y. Mizuta, T. Ohno, T. Shimomura
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Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$
, 2004 We prove the boundedness of the Hardy–Littlewood maximal function on the generalized Lebesgue space Lp(·)(Rd) under a continuity assumption on p that is weaker than uniform Holder continuity. We deduce continuity of mollifying sequences and density of C∞(
L. Diening
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, 2020 The purpose of this paper is to give a necessary and sufficient condition for an Orlicz space LΦ(G) to be a convolution Banach algebra, where G is a compactly generated locally compact abelian group and Φ is a Young function satisfying Δ2 -condition and ...
S. M. Tabatabaie +2 more
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On the approximation by trigonometric polynomials in weighted Lorentz spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 67-86, 2010., 2010 We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces.
Vakhtang Kokilashvili +2 more
wiley +1 more source
A Korovkin theorem in multivariate modular function spaces
Journal of Function Spaces, Volume 7, Issue 2, Page 105-120, 2009., 2009 In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro +2 more
wiley +1 more source
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
wiley +1 more source