Fractional Integration in Orlicz Spaces. I
From MaRDI portal
Publication:5341188
DOI10.2307/1994271zbMath0132.09201OpenAlexW4238265469MaRDI QIDQ5341188
Publication date: 1965
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1994271
Related Items
Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents, Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces, Sparse domination implies vector-valued sparse domination, On the relation between generalized Morrey spaces and measure data problems, Compact embeddings for weighted Orlicz-Sobolov spaces on \({\mathbb R}^ N\), Fractional integrals and derivatives: mapping properties, Capacity solution to a coupled system of parabolic-elliptic equations in Orlicz-Sobolev spaces, Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent, On two imbedding theorems, Pointwise estimates to the modified Riesz potential, On the Coifman type inequality for the oscillation of one-sided averages, Orlicz-Lorentz sequence spaces equipped with the Orlicz norm, Boundedness of \(\theta\)-type Calderón-Zygmund operators and commutators in the generalized weighted Morrey spaces, Extrapolation on function and modular spaces, and applications, Interpolation of linear operators, Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances, Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\), Sharp \(A_1\) weighted estimates for vector-valued operators, On pointwise and weighted estimates for commutators of Calderón-Zygmund operators, Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting, Weighted endpoint estimates for commutators of Marcinkiewicz integrals, Basic properties of multiplication and composition operators between distinct Orlicz spaces, Multiple solutions for a nonhomogeneous Dirichlet problem in Orlicz-Sobolev spaces, Pointwise mutipliers of Orlicz function spaces and factorization, Porosity and products of Orlicz spaces, Compact commutators of Calderón-Zygmund and generalized fractional integral operators with a function in generalized Campanato spaces on generalized Morrey spaces, Optimal extension of Fourier multiplier operators in \(L^p(G)\), An asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(( p( x) ,q( x) ) \)-Laplacian systems, Wolff potentials and measure data vectorial problems with Orlicz growth, The multilinear Littlewood-Paley operators with minimal regularity conditions, Bilinear multipliers on Banach function spaces, Unnamed Item, Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces, An endpoint estimate for the commutators of singular integral operators with rough kernels, Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group, A sparse approach to mixed weak type inequalities, Two-weight, weak-type norm inequalities for fractional integral operators and commutators on weighted Morrey and amalgam spaces, Two-weight, weak-type norm inequalities for a class of sublinear operators on weighted Morrey and amalgam spaces, Estimates for fractional integral operators and linear commutators on certain weighted amalgam spaces, Pointwise multipliers on weak Orlicz spaces, Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces, Weighted inequalities for multilinear potential operators and their commutators, \(\Phi\)-admissible sublinear singular operators and generalized Orlicz-Morrey spaces, On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces, Pointwise products of some Banach function spaces and factorization, Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces, Orlicz-Sobolev algebras, Orlicz-Hardy spaces and their duals, Some characterizations of the generalized BMO spaces via the boundedness of maximal function commutators, A weighted weak type estimate for the fractional integral operator on spaces of homogeneous type, Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture, Weighted estimates for multilinear commutators of generalized Calderón-Zygmund operators, Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces, Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent, Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces, Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces, Weighted estimates for commutators of singular integral operators with non-doubling measures, Topological size of some subsets in certain Calderón-Lozanovskiĭ spaces, Two-weighted inequalities for maximal operators related to Schrödinger differential operator, On sharp condition for imbedding anisotropic Sobolev-Orlicz spaces in a space of continuous functions, Generalized Hörmander's conditions, commutators and weights, Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions, Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators, Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces, Superlinear convolution equations in \(\mathbb R^{N}\), Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities, Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces, Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type, Two-weight norm inequalities for commutators of potential type integral operators, Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces, A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type, Sparse and weighted estimates for generalized Hörmander operators and commutators, Pointwise multipliers of Musielak-Orlicz spaces and factorization, Limits of conformal immersions under a bound on a fractional normal curvature quantity, On two weight estimates for iterated commutators, New Young inequalities and applications, Convergence and non-convergence of many-particle evolutions with multiple signs, Harmonic analysis on \(n\)-dimensional vector spaces over local fields. I: Basic results on fractional integration, Weak and strong type estimates for the multilinear pseudo-differential operators, Some estimates for the commutators of multilinear maximal function on Morrey-type space, On the boundedness of multilinear fractional strong maximal operators with multiple weights, An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces, Fractional integrals and their commutators on martingale Orlicz spaces, An extension of Hedberg's convolution inequality and applications, Separability of Sobolev-Orlicz spaces of infinite order, Orlicz-Sobolev spaces and imbedding theorems, On commutators of certain fractional type integrals with Lipschitz functions, Second order regularity for a linear elliptic system having BMO coefficients, Global higher integrability of Jacobians on bounded domains, Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data, Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind, Existence and multiplicity results for non-homogeneous Neumann problems in Orlicz-Sobolev spaces, Two weight extrapolation via the maximal operator, On the solutions of Caputo-Hadamard Pettis-type fractional differential equations, Embedding theorems for functions of one variable, Existence of positive solutions and its asymptotic behavior of \((p(x),q(x))\)-Laplacian parabolic system, Boundedness of fractional integrals on weighted Orlicz-Hardy spaces, The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators, Convolutions, tensor products and multipliers of the Orlicz-Lorentz spaces, The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions, Some Estimates for $θ$-type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces, H\"ormander's conditions for vector-valued kernels of singular integrals and its commutators, Unnamed Item, Fractional operators and their commutators on generalized Orlicz spaces, Generalized fractional integral operators on Orlicz–Hardy spaces, Local potential operator and uniform resolvent estimate for generalized Schrödinger operator in Orlicz spaces, Boundedness of commutators of integral operators of fractional type and \(M_{\alpha, L^r \log L}\) maximal operator in variable Lebesgue spaces, Orlicz Integrability of Additive Functionals of Harris Ergodic Markov Chains, Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator, On Orlicz sequence algebras, Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces, Boundedness of fractional integral operators on Musielak–Orlicz Hardy spaces, Orlicz-Lorentz function spaces equipped with the Orlicz norm, Unnamed Item, Solvability of quadratic Hadamard-type fractional integral equations in Orlicz spaces, Predual of weak Orlicz spaces and its applications to Fefferman-Stein vector-valued maximal inequality, Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces, Weak‐type Fefferman–Stein inequality and commutators on weak Orlicz–Morrey spaces, Transference and restriction of Fourier multipliers on Orlicz spaces, Regularity results of solutions of quasilinear systems having singularities in the coefficients, \(P\)-primitives and explicit solutions of polynomial differential equations in \(L^{\varPhi}(\mathbb{T})\), Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems, A note on the convolution in Orlicz spaces, Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in \textit{BMO}, Commutators of certain fractional type operators with Hörmander conditions, one-weighted and two-weighted inequalities, SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS, Unnamed Item, Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications, Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials, \((\Phi ,\Psi )\)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces, Commutators of singular integrals on spaces of homogeneous type, Harmonic Analysis for Functors on Categories of Banach Spaces of Distributions, Unnamed Item, Boundedness of generalized fractional integral operators on Orlicz spaces near $L^1$ over metric measure spaces, On some fixed point theorems in abstract duality pairs, A strict topology on Orlicz spaces, Fractional Integration in Orlicz Spaces, Convolution properties of Orlicz spaces on hypergroups, Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces
